## size 32
QUANDLES[32] := rec( total := -1, implemented := 17, size := 
32, rack := [ ] );
QUANDLES[32].implemented := 1;
QUANDLES[32].rack[1] := rec( size := 32, matrix :=
[ [ 1, 5, 2, 6, 3, 7, 4, 8, 29, 25, 30, 26, 31, 27, 32, 28, 9, 13, 10, 14, 
      11, 15, 12, 16, 19, 23, 20, 24, 17, 21, 18, 22 ], 
  [ 6, 2, 5, 1, 8, 4, 7, 3, 26, 30, 25, 29, 28, 32, 27, 31, 14, 10, 13, 9, 
      16, 12, 15, 11, 24, 20, 23, 19, 22, 18, 21, 17 ], 
  [ 4, 8, 3, 7, 2, 6, 1, 5, 32, 28, 31, 27, 30, 26, 29, 25, 12, 16, 11, 15, 
      10, 14, 9, 13, 18, 22, 17, 21, 20, 24, 19, 23 ], 
  [ 7, 3, 8, 4, 5, 1, 6, 2, 27, 31, 28, 32, 25, 29, 26, 30, 15, 11, 16, 12, 
      13, 9, 14, 10, 21, 17, 22, 18, 23, 19, 24, 20 ], 
  [ 7, 3, 8, 4, 5, 1, 6, 2, 27, 31, 28, 32, 25, 29, 26, 30, 15, 11, 16, 12, 
      13, 9, 14, 10, 21, 17, 22, 18, 23, 19, 24, 20 ], 
  [ 4, 8, 3, 7, 2, 6, 1, 5, 32, 28, 31, 27, 30, 26, 29, 25, 12, 16, 11, 15, 
      10, 14, 9, 13, 18, 22, 17, 21, 20, 24, 19, 23 ], 
  [ 6, 2, 5, 1, 8, 4, 7, 3, 26, 30, 25, 29, 28, 32, 27, 31, 14, 10, 13, 9, 
      16, 12, 15, 11, 24, 20, 23, 19, 22, 18, 21, 17 ], 
  [ 1, 5, 2, 6, 3, 7, 4, 8, 29, 25, 30, 26, 31, 27, 32, 28, 9, 13, 10, 14, 
      11, 15, 12, 16, 19, 23, 20, 24, 17, 21, 18, 22 ], 
  [ 23, 19, 24, 20, 21, 17, 22, 18, 9, 13, 10, 14, 11, 15, 12, 16, 31, 27, 
      32, 28, 29, 25, 30, 26, 7, 3, 8, 4, 5, 1, 6, 2 ], 
  [ 20, 24, 19, 23, 18, 22, 17, 21, 14, 10, 13, 9, 16, 12, 15, 11, 28, 32, 
      27, 31, 26, 30, 25, 29, 4, 8, 3, 7, 2, 6, 1, 5 ], 
  [ 22, 18, 21, 17, 24, 20, 23, 19, 12, 16, 11, 15, 10, 14, 9, 13, 30, 26, 
      29, 25, 32, 28, 31, 27, 6, 2, 5, 1, 8, 4, 7, 3 ], 
  [ 17, 21, 18, 22, 19, 23, 20, 24, 15, 11, 16, 12, 13, 9, 14, 10, 25, 29, 
      26, 30, 27, 31, 28, 32, 1, 5, 2, 6, 3, 7, 4, 8 ], 
  [ 17, 21, 18, 22, 19, 23, 20, 24, 15, 11, 16, 12, 13, 9, 14, 10, 25, 29, 
      26, 30, 27, 31, 28, 32, 1, 5, 2, 6, 3, 7, 4, 8 ], 
  [ 22, 18, 21, 17, 24, 20, 23, 19, 12, 16, 11, 15, 10, 14, 9, 13, 30, 26, 
      29, 25, 32, 28, 31, 27, 6, 2, 5, 1, 8, 4, 7, 3 ], 
  [ 20, 24, 19, 23, 18, 22, 17, 21, 14, 10, 13, 9, 16, 12, 15, 11, 28, 32, 
      27, 31, 26, 30, 25, 29, 4, 8, 3, 7, 2, 6, 1, 5 ], 
  [ 23, 19, 24, 20, 21, 17, 22, 18, 9, 13, 10, 14, 11, 15, 12, 16, 31, 27, 
      32, 28, 29, 25, 30, 26, 7, 3, 8, 4, 5, 1, 6, 2 ], 
  [ 26, 30, 25, 29, 28, 32, 27, 31, 2, 6, 1, 5, 4, 8, 3, 7, 17, 21, 18, 22, 
      19, 23, 20, 24, 15, 11, 16, 12, 13, 9, 14, 10 ], 
  [ 29, 25, 30, 26, 31, 27, 32, 28, 5, 1, 6, 2, 7, 3, 8, 4, 22, 18, 21, 17, 
      24, 20, 23, 19, 12, 16, 11, 15, 10, 14, 9, 13 ], 
  [ 27, 31, 28, 32, 25, 29, 26, 30, 3, 7, 4, 8, 1, 5, 2, 6, 20, 24, 19, 23, 
      18, 22, 17, 21, 14, 10, 13, 9, 16, 12, 15, 11 ], 
  [ 32, 28, 31, 27, 30, 26, 29, 25, 8, 4, 7, 3, 6, 2, 5, 1, 23, 19, 24, 20, 
      21, 17, 22, 18, 9, 13, 10, 14, 11, 15, 12, 16 ], 
  [ 32, 28, 31, 27, 30, 26, 29, 25, 8, 4, 7, 3, 6, 2, 5, 1, 23, 19, 24, 20, 
      21, 17, 22, 18, 9, 13, 10, 14, 11, 15, 12, 16 ], 
  [ 27, 31, 28, 32, 25, 29, 26, 30, 3, 7, 4, 8, 1, 5, 2, 6, 20, 24, 19, 23, 
      18, 22, 17, 21, 14, 10, 13, 9, 16, 12, 15, 11 ], 
  [ 29, 25, 30, 26, 31, 27, 32, 28, 5, 1, 6, 2, 7, 3, 8, 4, 22, 18, 21, 17, 
      24, 20, 23, 19, 12, 16, 11, 15, 10, 14, 9, 13 ], 
  [ 26, 30, 25, 29, 28, 32, 27, 31, 2, 6, 1, 5, 4, 8, 3, 7, 17, 21, 18, 22, 
      19, 23, 20, 24, 15, 11, 16, 12, 13, 9, 14, 10 ], 
  [ 14, 10, 13, 9, 16, 12, 15, 11, 24, 20, 23, 19, 22, 18, 21, 17, 5, 1, 6, 
      2, 7, 3, 8, 4, 25, 29, 26, 30, 27, 31, 28, 32 ], 
  [ 9, 13, 10, 14, 11, 15, 12, 16, 19, 23, 20, 24, 17, 21, 18, 22, 2, 6, 1, 
      5, 4, 8, 3, 7, 30, 26, 29, 25, 32, 28, 31, 27 ], 
  [ 15, 11, 16, 12, 13, 9, 14, 10, 21, 17, 22, 18, 23, 19, 24, 20, 8, 4, 7, 
      3, 6, 2, 5, 1, 28, 32, 27, 31, 26, 30, 25, 29 ], 
  [ 12, 16, 11, 15, 10, 14, 9, 13, 18, 22, 17, 21, 20, 24, 19, 23, 3, 7, 4, 
      8, 1, 5, 2, 6, 31, 27, 32, 28, 29, 25, 30, 26 ], 
  [ 12, 16, 11, 15, 10, 14, 9, 13, 18, 22, 17, 21, 20, 24, 19, 23, 3, 7, 4, 
      8, 1, 5, 2, 6, 31, 27, 32, 28, 29, 25, 30, 26 ], 
  [ 15, 11, 16, 12, 13, 9, 14, 10, 21, 17, 22, 18, 23, 19, 24, 20, 8, 4, 7, 
      3, 6, 2, 5, 1, 28, 32, 27, 31, 26, 30, 25, 29 ], 
  [ 9, 13, 10, 14, 11, 15, 12, 16, 19, 23, 20, 24, 17, 21, 18, 22, 2, 6, 1, 
      5, 4, 8, 3, 7, 30, 26, 29, 25, 32, 28, 31, 27 ], 
  [ 14, 10, 13, 9, 16, 12, 15, 11, 24, 20, 23, 19, 22, 18, 21, 17, 5, 1, 6, 
      2, 7, 3, 8, 4, 25, 29, 26, 30, 27, 31, 28, 32 ] ]);
QUANDLES[32].implemented := 2;
QUANDLES[32].rack[2] := rec( size := 32, matrix :=
[ [ 1, 2, 5, 6, 8, 7, 4, 3, 17, 18, 21, 22, 24, 23, 20, 19, 26, 25, 30, 29, 
      31, 32, 27, 28, 10, 9, 14, 13, 15, 16, 11, 12 ], 
  [ 1, 2, 5, 6, 8, 7, 4, 3, 17, 18, 21, 22, 24, 23, 20, 19, 26, 25, 30, 29, 
      31, 32, 27, 28, 10, 9, 14, 13, 15, 16, 11, 12 ], 
  [ 7, 8, 3, 4, 1, 2, 5, 6, 23, 24, 19, 20, 17, 18, 21, 22, 31, 32, 27, 28, 
      25, 26, 29, 30, 15, 16, 11, 12, 9, 10, 13, 14 ], 
  [ 7, 8, 3, 4, 1, 2, 5, 6, 23, 24, 19, 20, 17, 18, 21, 22, 31, 32, 27, 28, 
      25, 26, 29, 30, 15, 16, 11, 12, 9, 10, 13, 14 ], 
  [ 4, 3, 7, 8, 5, 6, 2, 1, 19, 20, 24, 23, 22, 21, 17, 18, 27, 28, 32, 31, 
      30, 29, 25, 26, 12, 11, 15, 16, 13, 14, 10, 9 ], 
  [ 4, 3, 7, 8, 5, 6, 2, 1, 19, 20, 24, 23, 22, 21, 17, 18, 27, 28, 32, 31, 
      30, 29, 25, 26, 12, 11, 15, 16, 13, 14, 10, 9 ], 
  [ 6, 5, 1, 2, 4, 3, 7, 8, 21, 22, 18, 17, 19, 20, 24, 23, 30, 29, 25, 26, 
      28, 27, 31, 32, 13, 14, 10, 9, 11, 12, 16, 15 ], 
  [ 6, 5, 1, 2, 4, 3, 7, 8, 21, 22, 18, 17, 19, 20, 24, 23, 30, 29, 25, 26, 
      28, 27, 31, 32, 13, 14, 10, 9, 11, 12, 16, 15 ], 
  [ 25, 26, 29, 30, 32, 31, 28, 27, 9, 10, 13, 14, 16, 15, 12, 11, 1, 2, 5, 
      6, 8, 7, 4, 3, 17, 18, 21, 22, 24, 23, 20, 19 ], 
  [ 25, 26, 29, 30, 32, 31, 28, 27, 9, 10, 13, 14, 16, 15, 12, 11, 1, 2, 5, 
      6, 8, 7, 4, 3, 17, 18, 21, 22, 24, 23, 20, 19 ], 
  [ 31, 32, 27, 28, 25, 26, 29, 30, 15, 16, 11, 12, 9, 10, 13, 14, 8, 7, 4, 
      3, 2, 1, 6, 5, 24, 23, 20, 19, 18, 17, 22, 21 ], 
  [ 31, 32, 27, 28, 25, 26, 29, 30, 15, 16, 11, 12, 9, 10, 13, 14, 8, 7, 4, 
      3, 2, 1, 6, 5, 24, 23, 20, 19, 18, 17, 22, 21 ], 
  [ 27, 28, 32, 31, 30, 29, 25, 26, 12, 11, 15, 16, 13, 14, 10, 9, 3, 4, 8, 
      7, 6, 5, 1, 2, 20, 19, 23, 24, 21, 22, 18, 17 ], 
  [ 27, 28, 32, 31, 30, 29, 25, 26, 12, 11, 15, 16, 13, 14, 10, 9, 3, 4, 8, 
      7, 6, 5, 1, 2, 20, 19, 23, 24, 21, 22, 18, 17 ], 
  [ 29, 30, 26, 25, 27, 28, 32, 31, 14, 13, 9, 10, 12, 11, 15, 16, 6, 5, 1, 
      2, 4, 3, 7, 8, 21, 22, 18, 17, 19, 20, 24, 23 ], 
  [ 29, 30, 26, 25, 27, 28, 32, 31, 14, 13, 9, 10, 12, 11, 15, 16, 6, 5, 1, 
      2, 4, 3, 7, 8, 21, 22, 18, 17, 19, 20, 24, 23 ], 
  [ 10, 9, 14, 13, 15, 16, 11, 12, 25, 26, 29, 30, 32, 31, 28, 27, 17, 18, 
      21, 22, 24, 23, 20, 19, 2, 1, 6, 5, 7, 8, 3, 4 ], 
  [ 10, 9, 14, 13, 15, 16, 11, 12, 25, 26, 29, 30, 32, 31, 28, 27, 17, 18, 
      21, 22, 24, 23, 20, 19, 2, 1, 6, 5, 7, 8, 3, 4 ], 
  [ 15, 16, 11, 12, 9, 10, 13, 14, 32, 31, 28, 27, 26, 25, 30, 29, 23, 24, 
      19, 20, 17, 18, 21, 22, 8, 7, 4, 3, 2, 1, 6, 5 ], 
  [ 15, 16, 11, 12, 9, 10, 13, 14, 32, 31, 28, 27, 26, 25, 30, 29, 23, 24, 
      19, 20, 17, 18, 21, 22, 8, 7, 4, 3, 2, 1, 6, 5 ], 
  [ 11, 12, 16, 15, 14, 13, 9, 10, 27, 28, 32, 31, 30, 29, 25, 26, 20, 19, 
      23, 24, 21, 22, 18, 17, 4, 3, 7, 8, 5, 6, 2, 1 ], 
  [ 11, 12, 16, 15, 14, 13, 9, 10, 27, 28, 32, 31, 30, 29, 25, 26, 20, 19, 
      23, 24, 21, 22, 18, 17, 4, 3, 7, 8, 5, 6, 2, 1 ], 
  [ 14, 13, 9, 10, 12, 11, 15, 16, 30, 29, 25, 26, 28, 27, 31, 32, 22, 21, 
      17, 18, 20, 19, 23, 24, 6, 5, 1, 2, 4, 3, 7, 8 ], 
  [ 14, 13, 9, 10, 12, 11, 15, 16, 30, 29, 25, 26, 28, 27, 31, 32, 22, 21, 
      17, 18, 20, 19, 23, 24, 6, 5, 1, 2, 4, 3, 7, 8 ], 
  [ 18, 17, 22, 21, 23, 24, 19, 20, 1, 2, 5, 6, 8, 7, 4, 3, 10, 9, 14, 13, 
      15, 16, 11, 12, 25, 26, 29, 30, 32, 31, 28, 27 ], 
  [ 18, 17, 22, 21, 23, 24, 19, 20, 1, 2, 5, 6, 8, 7, 4, 3, 10, 9, 14, 13, 
      15, 16, 11, 12, 25, 26, 29, 30, 32, 31, 28, 27 ], 
  [ 23, 24, 19, 20, 17, 18, 21, 22, 8, 7, 4, 3, 2, 1, 6, 5, 16, 15, 12, 11, 
      10, 9, 14, 13, 31, 32, 27, 28, 25, 26, 29, 30 ], 
  [ 23, 24, 19, 20, 17, 18, 21, 22, 8, 7, 4, 3, 2, 1, 6, 5, 16, 15, 12, 11, 
      10, 9, 14, 13, 31, 32, 27, 28, 25, 26, 29, 30 ], 
  [ 20, 19, 23, 24, 21, 22, 18, 17, 4, 3, 7, 8, 5, 6, 2, 1, 12, 11, 15, 16, 
      13, 14, 10, 9, 28, 27, 31, 32, 29, 30, 26, 25 ], 
  [ 20, 19, 23, 24, 21, 22, 18, 17, 4, 3, 7, 8, 5, 6, 2, 1, 12, 11, 15, 16, 
      13, 14, 10, 9, 28, 27, 31, 32, 29, 30, 26, 25 ], 
  [ 21, 22, 18, 17, 19, 20, 24, 23, 5, 6, 2, 1, 3, 4, 8, 7, 14, 13, 9, 10, 
      12, 11, 15, 16, 30, 29, 25, 26, 28, 27, 31, 32 ], 
  [ 21, 22, 18, 17, 19, 20, 24, 23, 5, 6, 2, 1, 3, 4, 8, 7, 14, 13, 9, 10, 
      12, 11, 15, 16, 30, 29, 25, 26, 28, 27, 31, 32 ] ]);
QUANDLES[32].implemented := 3;
QUANDLES[32].rack[3] := rec( size := 32, matrix :=
[ [ 1, 3, 4, 2, 6, 8, 7, 5, 23, 21, 22, 24, 20, 18, 17, 19, 25, 27, 28, 26, 
      30, 32, 31, 29, 15, 13, 14, 16, 12, 10, 9, 11 ], 
  [ 4, 2, 1, 3, 7, 5, 6, 8, 22, 24, 23, 21, 17, 19, 20, 18, 30, 32, 31, 29, 
      25, 27, 28, 26, 12, 10, 9, 11, 15, 13, 14, 16 ], 
  [ 2, 4, 3, 1, 5, 7, 8, 6, 18, 20, 19, 17, 21, 23, 24, 22, 26, 28, 27, 25, 
      29, 31, 32, 30, 10, 12, 11, 9, 13, 15, 16, 14 ], 
  [ 3, 1, 2, 4, 8, 6, 5, 7, 19, 17, 18, 20, 24, 22, 21, 23, 29, 31, 32, 30, 
      26, 28, 27, 25, 13, 15, 16, 14, 10, 12, 11, 9 ], 
  [ 2, 4, 3, 1, 5, 7, 8, 6, 18, 20, 19, 17, 21, 23, 24, 22, 26, 28, 27, 25, 
      29, 31, 32, 30, 10, 12, 11, 9, 13, 15, 16, 14 ], 
  [ 3, 1, 2, 4, 8, 6, 5, 7, 19, 17, 18, 20, 24, 22, 21, 23, 29, 31, 32, 30, 
      26, 28, 27, 25, 13, 15, 16, 14, 10, 12, 11, 9 ], 
  [ 1, 3, 4, 2, 6, 8, 7, 5, 23, 21, 22, 24, 20, 18, 17, 19, 25, 27, 28, 26, 
      30, 32, 31, 29, 15, 13, 14, 16, 12, 10, 9, 11 ], 
  [ 4, 2, 1, 3, 7, 5, 6, 8, 22, 24, 23, 21, 17, 19, 20, 18, 30, 32, 31, 29, 
      25, 27, 28, 26, 12, 10, 9, 11, 15, 13, 14, 16 ], 
  [ 31, 29, 30, 32, 28, 26, 25, 27, 9, 11, 12, 10, 14, 16, 15, 13, 1, 3, 4, 
      2, 6, 8, 7, 5, 23, 21, 22, 24, 20, 18, 17, 19 ], 
  [ 30, 32, 31, 29, 25, 27, 28, 26, 12, 10, 9, 11, 15, 13, 14, 16, 6, 8, 7, 
      5, 1, 3, 4, 2, 20, 18, 17, 19, 23, 21, 22, 24 ], 
  [ 26, 28, 27, 25, 29, 31, 32, 30, 10, 12, 11, 9, 13, 15, 16, 14, 8, 6, 5, 
      7, 3, 1, 2, 4, 24, 22, 21, 23, 19, 17, 18, 20 ], 
  [ 27, 25, 26, 28, 32, 30, 29, 31, 11, 9, 10, 12, 16, 14, 13, 15, 3, 1, 2, 
      4, 8, 6, 5, 7, 19, 17, 18, 20, 24, 22, 21, 23 ], 
  [ 26, 28, 27, 25, 29, 31, 32, 30, 10, 12, 11, 9, 13, 15, 16, 14, 8, 6, 5, 
      7, 3, 1, 2, 4, 24, 22, 21, 23, 19, 17, 18, 20 ], 
  [ 27, 25, 26, 28, 32, 30, 29, 31, 11, 9, 10, 12, 16, 14, 13, 15, 3, 1, 2, 
      4, 8, 6, 5, 7, 19, 17, 18, 20, 24, 22, 21, 23 ], 
  [ 31, 29, 30, 32, 28, 26, 25, 27, 9, 11, 12, 10, 14, 16, 15, 13, 1, 3, 4, 
      2, 6, 8, 7, 5, 23, 21, 22, 24, 20, 18, 17, 19 ], 
  [ 30, 32, 31, 29, 25, 27, 28, 26, 12, 10, 9, 11, 15, 13, 14, 16, 6, 8, 7, 
      5, 1, 3, 4, 2, 20, 18, 17, 19, 23, 21, 22, 24 ], 
  [ 9, 11, 12, 10, 14, 16, 15, 13, 25, 27, 28, 26, 30, 32, 31, 29, 17, 19, 
      20, 18, 22, 24, 23, 21, 1, 3, 4, 2, 6, 8, 7, 5 ], 
  [ 14, 16, 15, 13, 9, 11, 12, 10, 30, 32, 31, 29, 25, 27, 28, 26, 20, 18, 
      17, 19, 23, 21, 22, 24, 4, 2, 1, 3, 7, 5, 6, 8 ], 
  [ 10, 12, 11, 9, 13, 15, 16, 14, 32, 30, 29, 31, 27, 25, 26, 28, 18, 20, 
      19, 17, 21, 23, 24, 22, 8, 6, 5, 7, 3, 1, 2, 4 ], 
  [ 13, 15, 16, 14, 10, 12, 11, 9, 27, 25, 26, 28, 32, 30, 29, 31, 19, 17, 
      18, 20, 24, 22, 21, 23, 5, 7, 8, 6, 2, 4, 3, 1 ], 
  [ 10, 12, 11, 9, 13, 15, 16, 14, 32, 30, 29, 31, 27, 25, 26, 28, 18, 20, 
      19, 17, 21, 23, 24, 22, 8, 6, 5, 7, 3, 1, 2, 4 ], 
  [ 13, 15, 16, 14, 10, 12, 11, 9, 27, 25, 26, 28, 32, 30, 29, 31, 19, 17, 
      18, 20, 24, 22, 21, 23, 5, 7, 8, 6, 2, 4, 3, 1 ], 
  [ 9, 11, 12, 10, 14, 16, 15, 13, 25, 27, 28, 26, 30, 32, 31, 29, 17, 19, 
      20, 18, 22, 24, 23, 21, 1, 3, 4, 2, 6, 8, 7, 5 ], 
  [ 14, 16, 15, 13, 9, 11, 12, 10, 30, 32, 31, 29, 25, 27, 28, 26, 20, 18, 
      17, 19, 23, 21, 22, 24, 4, 2, 1, 3, 7, 5, 6, 8 ], 
  [ 23, 21, 22, 24, 20, 18, 17, 19, 7, 5, 6, 8, 4, 2, 1, 3, 9, 11, 12, 10, 
      14, 16, 15, 13, 25, 27, 28, 26, 30, 32, 31, 29 ], 
  [ 20, 18, 17, 19, 23, 21, 22, 24, 4, 2, 1, 3, 7, 5, 6, 8, 12, 10, 9, 11, 
      15, 13, 14, 16, 28, 26, 25, 27, 31, 29, 30, 32 ], 
  [ 18, 20, 19, 17, 21, 23, 24, 22, 8, 6, 5, 7, 3, 1, 2, 4, 16, 14, 13, 15, 
      11, 9, 10, 12, 26, 28, 27, 25, 29, 31, 32, 30 ], 
  [ 21, 23, 24, 22, 18, 20, 19, 17, 3, 1, 2, 4, 8, 6, 5, 7, 13, 15, 16, 14, 
      10, 12, 11, 9, 27, 25, 26, 28, 32, 30, 29, 31 ], 
  [ 18, 20, 19, 17, 21, 23, 24, 22, 8, 6, 5, 7, 3, 1, 2, 4, 16, 14, 13, 15, 
      11, 9, 10, 12, 26, 28, 27, 25, 29, 31, 32, 30 ], 
  [ 21, 23, 24, 22, 18, 20, 19, 17, 3, 1, 2, 4, 8, 6, 5, 7, 13, 15, 16, 14, 
      10, 12, 11, 9, 27, 25, 26, 28, 32, 30, 29, 31 ], 
  [ 23, 21, 22, 24, 20, 18, 17, 19, 7, 5, 6, 8, 4, 2, 1, 3, 9, 11, 12, 10, 
      14, 16, 15, 13, 25, 27, 28, 26, 30, 32, 31, 29 ], 
  [ 20, 18, 17, 19, 23, 21, 22, 24, 4, 2, 1, 3, 7, 5, 6, 8, 12, 10, 9, 11, 
      15, 13, 14, 16, 28, 26, 25, 27, 31, 29, 30, 32 ] ]);
QUANDLES[32].implemented := 4;
QUANDLES[32].rack[4] := rec( size := 32, matrix :=
[ [ 1, 2, 17, 18, 32, 31, 15, 16, 3, 4, 20, 19, 29, 30, 13, 14, 6, 5, 21, 22, 
      27, 28, 11, 12, 8, 7, 24, 23, 26, 25, 9, 10 ], 
  [ 1, 2, 17, 18, 32, 31, 15, 16, 3, 4, 20, 19, 29, 30, 13, 14, 6, 5, 21, 22, 
      27, 28, 11, 12, 8, 7, 24, 23, 26, 25, 9, 10 ], 
  [ 19, 20, 3, 4, 14, 13, 29, 30, 18, 17, 1, 2, 16, 15, 32, 31, 24, 23, 7, 8, 
      9, 10, 25, 26, 21, 22, 5, 6, 11, 12, 28, 27 ], 
  [ 19, 20, 3, 4, 14, 13, 29, 30, 18, 17, 1, 2, 16, 15, 32, 31, 24, 23, 7, 8, 
      9, 10, 25, 26, 21, 22, 5, 6, 11, 12, 28, 27 ], 
  [ 27, 28, 11, 12, 5, 6, 22, 21, 26, 25, 9, 10, 7, 8, 23, 24, 32, 31, 15, 
      16, 2, 1, 18, 17, 29, 30, 13, 14, 4, 3, 19, 20 ], 
  [ 27, 28, 11, 12, 5, 6, 22, 21, 26, 25, 9, 10, 7, 8, 23, 24, 32, 31, 15, 
      16, 2, 1, 18, 17, 29, 30, 13, 14, 4, 3, 19, 20 ], 
  [ 10, 9, 26, 25, 24, 23, 7, 8, 12, 11, 27, 28, 21, 22, 5, 6, 13, 14, 30, 
      29, 19, 20, 3, 4, 15, 16, 31, 32, 18, 17, 1, 2 ], 
  [ 10, 9, 26, 25, 24, 23, 7, 8, 12, 11, 27, 28, 21, 22, 5, 6, 13, 14, 30, 
      29, 19, 20, 3, 4, 15, 16, 31, 32, 18, 17, 1, 2 ], 
  [ 12, 11, 27, 28, 21, 22, 5, 6, 9, 10, 25, 26, 23, 24, 8, 7, 15, 16, 31, 
      32, 18, 17, 1, 2, 14, 13, 29, 30, 20, 19, 4, 3 ], 
  [ 12, 11, 27, 28, 21, 22, 5, 6, 9, 10, 25, 26, 23, 24, 8, 7, 15, 16, 31, 
      32, 18, 17, 1, 2, 14, 13, 29, 30, 20, 19, 4, 3 ], 
  [ 25, 26, 10, 9, 8, 7, 24, 23, 27, 28, 11, 12, 5, 6, 22, 21, 30, 29, 14, 
      13, 3, 4, 20, 19, 32, 31, 15, 16, 2, 1, 18, 17 ], 
  [ 25, 26, 10, 9, 8, 7, 24, 23, 27, 28, 11, 12, 5, 6, 22, 21, 30, 29, 14, 
      13, 3, 4, 20, 19, 32, 31, 15, 16, 2, 1, 18, 17 ], 
  [ 18, 17, 1, 2, 16, 15, 32, 31, 20, 19, 4, 3, 13, 14, 30, 29, 21, 22, 5, 6, 
      11, 12, 28, 27, 23, 24, 8, 7, 10, 9, 26, 25 ], 
  [ 18, 17, 1, 2, 16, 15, 32, 31, 20, 19, 4, 3, 13, 14, 30, 29, 21, 22, 5, 6, 
      11, 12, 28, 27, 23, 24, 8, 7, 10, 9, 26, 25 ], 
  [ 4, 3, 19, 20, 30, 29, 14, 13, 1, 2, 17, 18, 32, 31, 15, 16, 7, 8, 23, 24, 
      25, 26, 10, 9, 6, 5, 21, 22, 27, 28, 11, 12 ], 
  [ 4, 3, 19, 20, 30, 29, 14, 13, 1, 2, 17, 18, 32, 31, 15, 16, 7, 8, 23, 24, 
      25, 26, 10, 9, 6, 5, 21, 22, 27, 28, 11, 12 ], 
  [ 21, 22, 5, 6, 11, 12, 28, 27, 23, 24, 8, 7, 10, 9, 26, 25, 17, 18, 2, 1, 
      15, 16, 31, 32, 19, 20, 3, 4, 14, 13, 29, 30 ], 
  [ 21, 22, 5, 6, 11, 12, 28, 27, 23, 24, 8, 7, 10, 9, 26, 25, 17, 18, 2, 1, 
      15, 16, 31, 32, 19, 20, 3, 4, 14, 13, 29, 30 ], 
  [ 8, 7, 24, 23, 26, 25, 9, 10, 5, 6, 22, 21, 28, 27, 12, 11, 4, 3, 19, 20, 
      30, 29, 14, 13, 1, 2, 17, 18, 32, 31, 15, 16 ], 
  [ 8, 7, 24, 23, 26, 25, 9, 10, 5, 6, 22, 21, 28, 27, 12, 11, 4, 3, 19, 20, 
      30, 29, 14, 13, 1, 2, 17, 18, 32, 31, 15, 16 ], 
  [ 16, 15, 32, 31, 17, 18, 2, 1, 13, 14, 30, 29, 19, 20, 3, 4, 12, 11, 27, 
      28, 21, 22, 5, 6, 9, 10, 25, 26, 23, 24, 8, 7 ], 
  [ 16, 15, 32, 31, 17, 18, 2, 1, 13, 14, 30, 29, 19, 20, 3, 4, 12, 11, 27, 
      28, 21, 22, 5, 6, 9, 10, 25, 26, 23, 24, 8, 7 ], 
  [ 30, 29, 14, 13, 3, 4, 20, 19, 32, 31, 15, 16, 2, 1, 18, 17, 26, 25, 9, 
      10, 7, 8, 23, 24, 28, 27, 12, 11, 6, 5, 21, 22 ], 
  [ 30, 29, 14, 13, 3, 4, 20, 19, 32, 31, 15, 16, 2, 1, 18, 17, 26, 25, 9, 
      10, 7, 8, 23, 24, 28, 27, 12, 11, 6, 5, 21, 22 ], 
  [ 32, 31, 15, 16, 2, 1, 18, 17, 29, 30, 13, 14, 4, 3, 19, 20, 28, 27, 12, 
      11, 6, 5, 21, 22, 25, 26, 10, 9, 8, 7, 24, 23 ], 
  [ 32, 31, 15, 16, 2, 1, 18, 17, 29, 30, 13, 14, 4, 3, 19, 20, 28, 27, 12, 
      11, 6, 5, 21, 22, 25, 26, 10, 9, 8, 7, 24, 23 ], 
  [ 14, 13, 29, 30, 20, 19, 4, 3, 16, 15, 32, 31, 17, 18, 2, 1, 10, 9, 26, 
      25, 24, 23, 7, 8, 12, 11, 27, 28, 21, 22, 5, 6 ], 
  [ 14, 13, 29, 30, 20, 19, 4, 3, 16, 15, 32, 31, 17, 18, 2, 1, 10, 9, 26, 
      25, 24, 23, 7, 8, 12, 11, 27, 28, 21, 22, 5, 6 ], 
  [ 5, 6, 22, 21, 28, 27, 12, 11, 7, 8, 23, 24, 25, 26, 10, 9, 1, 2, 17, 18, 
      32, 31, 15, 16, 3, 4, 20, 19, 29, 30, 13, 14 ], 
  [ 5, 6, 22, 21, 28, 27, 12, 11, 7, 8, 23, 24, 25, 26, 10, 9, 1, 2, 17, 18, 
      32, 31, 15, 16, 3, 4, 20, 19, 29, 30, 13, 14 ], 
  [ 24, 23, 7, 8, 9, 10, 25, 26, 21, 22, 5, 6, 11, 12, 28, 27, 20, 19, 4, 3, 
      13, 14, 30, 29, 17, 18, 2, 1, 15, 16, 31, 32 ], 
  [ 24, 23, 7, 8, 9, 10, 25, 26, 21, 22, 5, 6, 11, 12, 28, 27, 20, 19, 4, 3, 
      13, 14, 30, 29, 17, 18, 2, 1, 15, 16, 31, 32 ] ]);
QUANDLES[32].implemented := 5;
QUANDLES[32].rack[5] := rec( size := 32, matrix :=
[ [ 1, 2, 9, 10, 17, 18, 25, 26, 8, 7, 15, 16, 24, 23, 31, 32, 3, 4, 12, 11, 
      20, 19, 27, 28, 6, 5, 14, 13, 21, 22, 29, 30 ], 
  [ 1, 2, 9, 10, 17, 18, 25, 26, 8, 7, 15, 16, 24, 23, 31, 32, 3, 4, 12, 11, 
      20, 19, 27, 28, 6, 5, 14, 13, 21, 22, 29, 30 ], 
  [ 11, 12, 3, 4, 27, 28, 19, 20, 14, 13, 5, 6, 30, 29, 21, 22, 10, 9, 1, 2, 
      25, 26, 18, 17, 15, 16, 7, 8, 32, 31, 24, 23 ], 
  [ 11, 12, 3, 4, 27, 28, 19, 20, 14, 13, 5, 6, 30, 29, 21, 22, 10, 9, 1, 2, 
      25, 26, 18, 17, 15, 16, 7, 8, 32, 31, 24, 23 ], 
  [ 21, 22, 29, 30, 5, 6, 13, 14, 19, 20, 28, 27, 3, 4, 12, 11, 23, 24, 32, 
      31, 8, 7, 15, 16, 17, 18, 25, 26, 2, 1, 10, 9 ], 
  [ 21, 22, 29, 30, 5, 6, 13, 14, 19, 20, 28, 27, 3, 4, 12, 11, 23, 24, 32, 
      31, 8, 7, 15, 16, 17, 18, 25, 26, 2, 1, 10, 9 ], 
  [ 31, 32, 23, 24, 15, 16, 7, 8, 25, 26, 18, 17, 9, 10, 2, 1, 30, 29, 21, 
      22, 13, 14, 6, 5, 28, 27, 20, 19, 11, 12, 3, 4 ], 
  [ 31, 32, 23, 24, 15, 16, 7, 8, 25, 26, 18, 17, 9, 10, 2, 1, 30, 29, 21, 
      22, 13, 14, 6, 5, 28, 27, 20, 19, 11, 12, 3, 4 ], 
  [ 15, 16, 7, 8, 32, 31, 24, 23, 9, 10, 2, 1, 26, 25, 17, 18, 14, 13, 5, 6, 
      30, 29, 21, 22, 12, 11, 4, 3, 28, 27, 20, 19 ], 
  [ 15, 16, 7, 8, 32, 31, 24, 23, 9, 10, 2, 1, 26, 25, 17, 18, 14, 13, 5, 6, 
      30, 29, 21, 22, 12, 11, 4, 3, 28, 27, 20, 19 ], 
  [ 6, 5, 14, 13, 21, 22, 29, 30, 4, 3, 11, 12, 19, 20, 28, 27, 8, 7, 15, 16, 
      24, 23, 31, 32, 2, 1, 10, 9, 18, 17, 26, 25 ], 
  [ 6, 5, 14, 13, 21, 22, 29, 30, 4, 3, 11, 12, 19, 20, 28, 27, 8, 7, 15, 16, 
      24, 23, 31, 32, 2, 1, 10, 9, 18, 17, 26, 25 ], 
  [ 27, 28, 19, 20, 12, 11, 4, 3, 30, 29, 21, 22, 13, 14, 6, 5, 26, 25, 17, 
      18, 10, 9, 1, 2, 31, 32, 23, 24, 15, 16, 7, 8 ], 
  [ 27, 28, 19, 20, 12, 11, 4, 3, 30, 29, 21, 22, 13, 14, 6, 5, 26, 25, 17, 
      18, 10, 9, 1, 2, 31, 32, 23, 24, 15, 16, 7, 8 ], 
  [ 18, 17, 26, 25, 1, 2, 9, 10, 23, 24, 32, 31, 8, 7, 15, 16, 20, 19, 27, 
      28, 4, 3, 11, 12, 21, 22, 29, 30, 5, 6, 13, 14 ], 
  [ 18, 17, 26, 25, 1, 2, 9, 10, 23, 24, 32, 31, 8, 7, 15, 16, 20, 19, 27, 
      28, 4, 3, 11, 12, 21, 22, 29, 30, 5, 6, 13, 14 ], 
  [ 20, 19, 27, 28, 4, 3, 11, 12, 21, 22, 29, 30, 5, 6, 13, 14, 17, 18, 25, 
      26, 2, 1, 10, 9, 24, 23, 31, 32, 7, 8, 16, 15 ], 
  [ 20, 19, 27, 28, 4, 3, 11, 12, 21, 22, 29, 30, 5, 6, 13, 14, 17, 18, 25, 
      26, 2, 1, 10, 9, 24, 23, 31, 32, 7, 8, 16, 15 ], 
  [ 25, 26, 18, 17, 9, 10, 2, 1, 32, 31, 24, 23, 16, 15, 8, 7, 27, 28, 19, 
      20, 12, 11, 4, 3, 30, 29, 21, 22, 13, 14, 6, 5 ], 
  [ 25, 26, 18, 17, 9, 10, 2, 1, 32, 31, 24, 23, 16, 15, 8, 7, 27, 28, 19, 
      20, 12, 11, 4, 3, 30, 29, 21, 22, 13, 14, 6, 5 ], 
  [ 7, 8, 16, 15, 23, 24, 32, 31, 1, 2, 9, 10, 17, 18, 25, 26, 6, 5, 14, 13, 
      21, 22, 29, 30, 4, 3, 11, 12, 19, 20, 28, 27 ], 
  [ 7, 8, 16, 15, 23, 24, 32, 31, 1, 2, 9, 10, 17, 18, 25, 26, 6, 5, 14, 13, 
      21, 22, 29, 30, 4, 3, 11, 12, 19, 20, 28, 27 ], 
  [ 14, 13, 5, 6, 30, 29, 21, 22, 12, 11, 4, 3, 28, 27, 20, 19, 16, 15, 8, 7, 
      31, 32, 23, 24, 10, 9, 1, 2, 25, 26, 18, 17 ], 
  [ 14, 13, 5, 6, 30, 29, 21, 22, 12, 11, 4, 3, 28, 27, 20, 19, 16, 15, 8, 7, 
      31, 32, 23, 24, 10, 9, 1, 2, 25, 26, 18, 17 ], 
  [ 29, 30, 22, 21, 14, 13, 5, 6, 27, 28, 19, 20, 12, 11, 4, 3, 31, 32, 23, 
      24, 15, 16, 7, 8, 25, 26, 18, 17, 9, 10, 2, 1 ], 
  [ 29, 30, 22, 21, 14, 13, 5, 6, 27, 28, 19, 20, 12, 11, 4, 3, 31, 32, 23, 
      24, 15, 16, 7, 8, 25, 26, 18, 17, 9, 10, 2, 1 ], 
  [ 23, 24, 32, 31, 8, 7, 15, 16, 17, 18, 25, 26, 2, 1, 10, 9, 22, 21, 30, 
      29, 6, 5, 14, 13, 20, 19, 27, 28, 4, 3, 11, 12 ], 
  [ 23, 24, 32, 31, 8, 7, 15, 16, 17, 18, 25, 26, 2, 1, 10, 9, 22, 21, 30, 
      29, 6, 5, 14, 13, 20, 19, 27, 28, 4, 3, 11, 12 ], 
  [ 10, 9, 1, 2, 25, 26, 18, 17, 15, 16, 7, 8, 32, 31, 24, 23, 12, 11, 4, 3, 
      28, 27, 20, 19, 13, 14, 6, 5, 29, 30, 22, 21 ], 
  [ 10, 9, 1, 2, 25, 26, 18, 17, 15, 16, 7, 8, 32, 31, 24, 23, 12, 11, 4, 3, 
      28, 27, 20, 19, 13, 14, 6, 5, 29, 30, 22, 21 ], 
  [ 4, 3, 11, 12, 19, 20, 28, 27, 5, 6, 13, 14, 22, 21, 30, 29, 1, 2, 9, 10, 
      17, 18, 25, 26, 8, 7, 15, 16, 24, 23, 31, 32 ], 
  [ 4, 3, 11, 12, 19, 20, 28, 27, 5, 6, 13, 14, 22, 21, 30, 29, 1, 2, 9, 10, 
      17, 18, 25, 26, 8, 7, 15, 16, 24, 23, 31, 32 ] ]);
QUANDLES[32].implemented := 6;
QUANDLES[32].rack[6] := rec( size := 32, matrix :=
[ [ 1, 5, 4, 8, 6, 2, 7, 3, 20, 24, 17, 21, 23, 19, 22, 18, 32, 28, 29, 25, 
      27, 31, 26, 30, 16, 12, 13, 9, 11, 15, 10, 14 ], 
  [ 6, 2, 7, 3, 1, 5, 4, 8, 17, 21, 20, 24, 22, 18, 23, 19, 27, 31, 26, 30, 
      32, 28, 29, 25, 13, 9, 16, 12, 10, 14, 11, 15 ], 
  [ 2, 6, 3, 7, 5, 1, 8, 4, 21, 17, 24, 20, 18, 22, 19, 23, 25, 29, 28, 32, 
      30, 26, 31, 27, 15, 11, 14, 10, 12, 16, 9, 13 ], 
  [ 5, 1, 8, 4, 2, 6, 3, 7, 24, 20, 21, 17, 19, 23, 18, 22, 30, 26, 31, 27, 
      25, 29, 28, 32, 14, 10, 15, 11, 9, 13, 12, 16 ], 
  [ 2, 6, 3, 7, 5, 1, 8, 4, 21, 17, 24, 20, 18, 22, 19, 23, 25, 29, 28, 32, 
      30, 26, 31, 27, 15, 11, 14, 10, 12, 16, 9, 13 ], 
  [ 5, 1, 8, 4, 2, 6, 3, 7, 24, 20, 21, 17, 19, 23, 18, 22, 30, 26, 31, 27, 
      25, 29, 28, 32, 14, 10, 15, 11, 9, 13, 12, 16 ], 
  [ 1, 5, 4, 8, 6, 2, 7, 3, 20, 24, 17, 21, 23, 19, 22, 18, 32, 28, 29, 25, 
      27, 31, 26, 30, 16, 12, 13, 9, 11, 15, 10, 14 ], 
  [ 6, 2, 7, 3, 1, 5, 4, 8, 17, 21, 20, 24, 22, 18, 23, 19, 27, 31, 26, 30, 
      32, 28, 29, 25, 13, 9, 16, 12, 10, 14, 11, 15 ], 
  [ 29, 25, 32, 28, 26, 30, 27, 31, 9, 13, 12, 16, 14, 10, 15, 11, 4, 8, 1, 
      5, 7, 3, 6, 2, 21, 17, 24, 20, 18, 22, 19, 23 ], 
  [ 32, 28, 29, 25, 27, 31, 26, 30, 14, 10, 15, 11, 9, 13, 12, 16, 1, 5, 4, 
      8, 6, 2, 7, 3, 18, 22, 19, 23, 21, 17, 24, 20 ], 
  [ 28, 32, 25, 29, 31, 27, 30, 26, 10, 14, 11, 15, 13, 9, 16, 12, 3, 7, 2, 
      6, 8, 4, 5, 1, 20, 24, 17, 21, 23, 19, 22, 18 ], 
  [ 25, 29, 28, 32, 30, 26, 31, 27, 13, 9, 16, 12, 10, 14, 11, 15, 2, 6, 3, 
      7, 5, 1, 8, 4, 23, 19, 22, 18, 20, 24, 17, 21 ], 
  [ 28, 32, 25, 29, 31, 27, 30, 26, 10, 14, 11, 15, 13, 9, 16, 12, 3, 7, 2, 
      6, 8, 4, 5, 1, 20, 24, 17, 21, 23, 19, 22, 18 ], 
  [ 25, 29, 28, 32, 30, 26, 31, 27, 13, 9, 16, 12, 10, 14, 11, 15, 2, 6, 3, 
      7, 5, 1, 8, 4, 23, 19, 22, 18, 20, 24, 17, 21 ], 
  [ 29, 25, 32, 28, 26, 30, 27, 31, 9, 13, 12, 16, 14, 10, 15, 11, 4, 8, 1, 
      5, 7, 3, 6, 2, 21, 17, 24, 20, 18, 22, 19, 23 ], 
  [ 32, 28, 29, 25, 27, 31, 26, 30, 14, 10, 15, 11, 9, 13, 12, 16, 1, 5, 4, 
      8, 6, 2, 7, 3, 18, 22, 19, 23, 21, 17, 24, 20 ], 
  [ 9, 13, 12, 16, 14, 10, 15, 11, 27, 31, 26, 30, 32, 28, 29, 25, 17, 21, 
      20, 24, 22, 18, 23, 19, 2, 6, 3, 7, 5, 1, 8, 4 ], 
  [ 14, 10, 15, 11, 9, 13, 12, 16, 26, 30, 27, 31, 29, 25, 32, 28, 22, 18, 
      23, 19, 17, 21, 20, 24, 3, 7, 2, 6, 8, 4, 5, 1 ], 
  [ 16, 12, 13, 9, 11, 15, 10, 14, 28, 32, 25, 29, 31, 27, 30, 26, 18, 22, 
      19, 23, 21, 17, 24, 20, 7, 3, 6, 2, 4, 8, 1, 5 ], 
  [ 11, 15, 10, 14, 16, 12, 13, 9, 25, 29, 28, 32, 30, 26, 31, 27, 21, 17, 
      24, 20, 18, 22, 19, 23, 6, 2, 7, 3, 1, 5, 4, 8 ], 
  [ 16, 12, 13, 9, 11, 15, 10, 14, 28, 32, 25, 29, 31, 27, 30, 26, 18, 22, 
      19, 23, 21, 17, 24, 20, 7, 3, 6, 2, 4, 8, 1, 5 ], 
  [ 11, 15, 10, 14, 16, 12, 13, 9, 25, 29, 28, 32, 30, 26, 31, 27, 21, 17, 
      24, 20, 18, 22, 19, 23, 6, 2, 7, 3, 1, 5, 4, 8 ], 
  [ 9, 13, 12, 16, 14, 10, 15, 11, 27, 31, 26, 30, 32, 28, 29, 25, 17, 21, 
      20, 24, 22, 18, 23, 19, 2, 6, 3, 7, 5, 1, 8, 4 ], 
  [ 14, 10, 15, 11, 9, 13, 12, 16, 26, 30, 27, 31, 29, 25, 32, 28, 22, 18, 
      23, 19, 17, 21, 20, 24, 3, 7, 2, 6, 8, 4, 5, 1 ], 
  [ 17, 21, 20, 24, 22, 18, 23, 19, 4, 8, 1, 5, 7, 3, 6, 2, 9, 13, 12, 16, 
      14, 10, 15, 11, 25, 29, 28, 32, 30, 26, 31, 27 ], 
  [ 20, 24, 17, 21, 23, 19, 22, 18, 7, 3, 6, 2, 4, 8, 1, 5, 12, 16, 9, 13, 
      15, 11, 14, 10, 30, 26, 31, 27, 25, 29, 28, 32 ], 
  [ 18, 22, 19, 23, 21, 17, 24, 20, 5, 1, 8, 4, 2, 6, 3, 7, 16, 12, 13, 9, 
      11, 15, 10, 14, 26, 30, 27, 31, 29, 25, 32, 28 ], 
  [ 19, 23, 18, 22, 24, 20, 21, 17, 2, 6, 3, 7, 5, 1, 8, 4, 13, 9, 16, 12, 
      10, 14, 11, 15, 29, 25, 32, 28, 26, 30, 27, 31 ], 
  [ 18, 22, 19, 23, 21, 17, 24, 20, 5, 1, 8, 4, 2, 6, 3, 7, 16, 12, 13, 9, 
      11, 15, 10, 14, 26, 30, 27, 31, 29, 25, 32, 28 ], 
  [ 19, 23, 18, 22, 24, 20, 21, 17, 2, 6, 3, 7, 5, 1, 8, 4, 13, 9, 16, 12, 
      10, 14, 11, 15, 29, 25, 32, 28, 26, 30, 27, 31 ], 
  [ 17, 21, 20, 24, 22, 18, 23, 19, 4, 8, 1, 5, 7, 3, 6, 2, 9, 13, 12, 16, 
      14, 10, 15, 11, 25, 29, 28, 32, 30, 26, 31, 27 ], 
  [ 20, 24, 17, 21, 23, 19, 22, 18, 7, 3, 6, 2, 4, 8, 1, 5, 12, 16, 9, 13, 
      15, 11, 14, 10, 30, 26, 31, 27, 25, 29, 28, 32 ] ]);
QUANDLES[32].implemented := 7;
QUANDLES[32].rack[7] := rec( size := 32, matrix :=
[ [ 1, 3, 5, 7, 2, 4, 6, 8, 17, 19, 21, 23, 18, 20, 22, 24, 25, 27, 29, 31, 
      26, 28, 30, 32, 14, 16, 10, 12, 13, 15, 9, 11 ], 
  [ 4, 2, 8, 6, 3, 1, 7, 5, 20, 18, 24, 22, 19, 17, 23, 21, 28, 26, 32, 30, 
      27, 25, 31, 29, 15, 13, 11, 9, 16, 14, 12, 10 ], 
  [ 7, 5, 3, 1, 8, 6, 4, 2, 23, 21, 19, 17, 24, 22, 20, 18, 31, 29, 27, 25, 
      32, 30, 28, 26, 12, 10, 16, 14, 11, 9, 15, 13 ], 
  [ 6, 8, 2, 4, 5, 7, 1, 3, 22, 24, 18, 20, 21, 23, 17, 19, 30, 32, 26, 28, 
      29, 31, 25, 27, 9, 11, 13, 15, 10, 12, 14, 16 ], 
  [ 6, 8, 2, 4, 5, 7, 1, 3, 22, 24, 18, 20, 21, 23, 17, 19, 30, 32, 26, 28, 
      29, 31, 25, 27, 9, 11, 13, 15, 10, 12, 14, 16 ], 
  [ 7, 5, 3, 1, 8, 6, 4, 2, 23, 21, 19, 17, 24, 22, 20, 18, 31, 29, 27, 25, 
      32, 30, 28, 26, 12, 10, 16, 14, 11, 9, 15, 13 ], 
  [ 4, 2, 8, 6, 3, 1, 7, 5, 20, 18, 24, 22, 19, 17, 23, 21, 28, 26, 32, 30, 
      27, 25, 31, 29, 15, 13, 11, 9, 16, 14, 12, 10 ], 
  [ 1, 3, 5, 7, 2, 4, 6, 8, 17, 19, 21, 23, 18, 20, 22, 24, 25, 27, 29, 31, 
      26, 28, 30, 32, 14, 16, 10, 12, 13, 15, 9, 11 ], 
  [ 30, 32, 26, 28, 29, 31, 25, 27, 9, 11, 13, 15, 10, 12, 14, 16, 2, 4, 6, 
      8, 1, 3, 5, 7, 18, 20, 22, 24, 17, 19, 21, 23 ], 
  [ 31, 29, 27, 25, 32, 30, 28, 26, 12, 10, 16, 14, 11, 9, 15, 13, 3, 1, 7, 
      5, 4, 2, 8, 6, 19, 17, 23, 21, 20, 18, 24, 22 ], 
  [ 28, 26, 32, 30, 27, 25, 31, 29, 15, 13, 11, 9, 16, 14, 12, 10, 8, 6, 4, 
      2, 7, 5, 3, 1, 24, 22, 20, 18, 23, 21, 19, 17 ], 
  [ 25, 27, 29, 31, 26, 28, 30, 32, 14, 16, 10, 12, 13, 15, 9, 11, 5, 7, 1, 
      3, 6, 8, 2, 4, 21, 23, 17, 19, 22, 24, 18, 20 ], 
  [ 25, 27, 29, 31, 26, 28, 30, 32, 14, 16, 10, 12, 13, 15, 9, 11, 5, 7, 1, 
      3, 6, 8, 2, 4, 21, 23, 17, 19, 22, 24, 18, 20 ], 
  [ 28, 26, 32, 30, 27, 25, 31, 29, 15, 13, 11, 9, 16, 14, 12, 10, 8, 6, 4, 
      2, 7, 5, 3, 1, 24, 22, 20, 18, 23, 21, 19, 17 ], 
  [ 31, 29, 27, 25, 32, 30, 28, 26, 12, 10, 16, 14, 11, 9, 15, 13, 3, 1, 7, 
      5, 4, 2, 8, 6, 19, 17, 23, 21, 20, 18, 24, 22 ], 
  [ 30, 32, 26, 28, 29, 31, 25, 27, 9, 11, 13, 15, 10, 12, 14, 16, 2, 4, 6, 
      8, 1, 3, 5, 7, 18, 20, 22, 24, 17, 19, 21, 23 ], 
  [ 15, 13, 11, 9, 16, 14, 12, 10, 26, 28, 30, 32, 25, 27, 29, 31, 17, 19, 
      21, 23, 18, 20, 22, 24, 3, 1, 7, 5, 4, 2, 8, 6 ], 
  [ 14, 16, 10, 12, 13, 15, 9, 11, 27, 25, 31, 29, 28, 26, 32, 30, 20, 18, 
      24, 22, 19, 17, 23, 21, 2, 4, 6, 8, 1, 3, 5, 7 ], 
  [ 9, 11, 13, 15, 10, 12, 14, 16, 32, 30, 28, 26, 31, 29, 27, 25, 23, 21, 
      19, 17, 24, 22, 20, 18, 5, 7, 1, 3, 6, 8, 2, 4 ], 
  [ 12, 10, 16, 14, 11, 9, 15, 13, 29, 31, 25, 27, 30, 32, 26, 28, 22, 24, 
      18, 20, 21, 23, 17, 19, 8, 6, 4, 2, 7, 5, 3, 1 ], 
  [ 12, 10, 16, 14, 11, 9, 15, 13, 29, 31, 25, 27, 30, 32, 26, 28, 22, 24, 
      18, 20, 21, 23, 17, 19, 8, 6, 4, 2, 7, 5, 3, 1 ], 
  [ 9, 11, 13, 15, 10, 12, 14, 16, 32, 30, 28, 26, 31, 29, 27, 25, 23, 21, 
      19, 17, 24, 22, 20, 18, 5, 7, 1, 3, 6, 8, 2, 4 ], 
  [ 14, 16, 10, 12, 13, 15, 9, 11, 27, 25, 31, 29, 28, 26, 32, 30, 20, 18, 
      24, 22, 19, 17, 23, 21, 2, 4, 6, 8, 1, 3, 5, 7 ], 
  [ 15, 13, 11, 9, 16, 14, 12, 10, 26, 28, 30, 32, 25, 27, 29, 31, 17, 19, 
      21, 23, 18, 20, 22, 24, 3, 1, 7, 5, 4, 2, 8, 6 ], 
  [ 22, 24, 18, 20, 21, 23, 17, 19, 8, 6, 4, 2, 7, 5, 3, 1, 16, 14, 12, 10, 
      15, 13, 11, 9, 25, 27, 29, 31, 26, 28, 30, 32 ], 
  [ 23, 21, 19, 17, 24, 22, 20, 18, 5, 7, 1, 3, 6, 8, 2, 4, 13, 15, 9, 11, 
      14, 16, 10, 12, 28, 26, 32, 30, 27, 25, 31, 29 ], 
  [ 20, 18, 24, 22, 19, 17, 23, 21, 2, 4, 6, 8, 1, 3, 5, 7, 10, 12, 14, 16, 
      9, 11, 13, 15, 31, 29, 27, 25, 32, 30, 28, 26 ], 
  [ 17, 19, 21, 23, 18, 20, 22, 24, 3, 1, 7, 5, 4, 2, 8, 6, 11, 9, 15, 13, 
      12, 10, 16, 14, 30, 32, 26, 28, 29, 31, 25, 27 ], 
  [ 17, 19, 21, 23, 18, 20, 22, 24, 3, 1, 7, 5, 4, 2, 8, 6, 11, 9, 15, 13, 
      12, 10, 16, 14, 30, 32, 26, 28, 29, 31, 25, 27 ], 
  [ 20, 18, 24, 22, 19, 17, 23, 21, 2, 4, 6, 8, 1, 3, 5, 7, 10, 12, 14, 16, 
      9, 11, 13, 15, 31, 29, 27, 25, 32, 30, 28, 26 ], 
  [ 23, 21, 19, 17, 24, 22, 20, 18, 5, 7, 1, 3, 6, 8, 2, 4, 13, 15, 9, 11, 
      14, 16, 10, 12, 28, 26, 32, 30, 27, 25, 31, 29 ], 
  [ 22, 24, 18, 20, 21, 23, 17, 19, 8, 6, 4, 2, 7, 5, 3, 1, 16, 14, 12, 10, 
      15, 13, 11, 9, 25, 27, 29, 31, 26, 28, 30, 32 ] ]);
QUANDLES[32].implemented := 8;
QUANDLES[32].rack[8] := rec( size := 32, matrix :=
[ [ 1, 5, 2, 6, 3, 7, 4, 8, 31, 27, 32, 28, 29, 25, 30, 26, 9, 13, 10, 14, 
      11, 15, 12, 16, 17, 21, 18, 22, 19, 23, 20, 24 ], 
  [ 6, 2, 5, 1, 8, 4, 7, 3, 28, 32, 27, 31, 26, 30, 25, 29, 14, 10, 13, 9, 
      16, 12, 15, 11, 22, 18, 21, 17, 24, 20, 23, 19 ], 
  [ 4, 8, 3, 7, 2, 6, 1, 5, 30, 26, 29, 25, 32, 28, 31, 27, 12, 16, 11, 15, 
      10, 14, 9, 13, 20, 24, 19, 23, 18, 22, 17, 21 ], 
  [ 7, 3, 8, 4, 5, 1, 6, 2, 25, 29, 26, 30, 27, 31, 28, 32, 15, 11, 16, 12, 
      13, 9, 14, 10, 23, 19, 24, 20, 21, 17, 22, 18 ], 
  [ 7, 3, 8, 4, 5, 1, 6, 2, 25, 29, 26, 30, 27, 31, 28, 32, 15, 11, 16, 12, 
      13, 9, 14, 10, 23, 19, 24, 20, 21, 17, 22, 18 ], 
  [ 4, 8, 3, 7, 2, 6, 1, 5, 30, 26, 29, 25, 32, 28, 31, 27, 12, 16, 11, 15, 
      10, 14, 9, 13, 20, 24, 19, 23, 18, 22, 17, 21 ], 
  [ 6, 2, 5, 1, 8, 4, 7, 3, 28, 32, 27, 31, 26, 30, 25, 29, 14, 10, 13, 9, 
      16, 12, 15, 11, 22, 18, 21, 17, 24, 20, 23, 19 ], 
  [ 1, 5, 2, 6, 3, 7, 4, 8, 31, 27, 32, 28, 29, 25, 30, 26, 9, 13, 10, 14, 
      11, 15, 12, 16, 17, 21, 18, 22, 19, 23, 20, 24 ], 
  [ 21, 17, 22, 18, 23, 19, 24, 20, 9, 13, 10, 14, 11, 15, 12, 16, 29, 25, 
      30, 26, 31, 27, 32, 28, 7, 3, 8, 4, 5, 1, 6, 2 ], 
  [ 18, 22, 17, 21, 20, 24, 19, 23, 14, 10, 13, 9, 16, 12, 15, 11, 26, 30, 
      25, 29, 28, 32, 27, 31, 4, 8, 3, 7, 2, 6, 1, 5 ], 
  [ 24, 20, 23, 19, 22, 18, 21, 17, 12, 16, 11, 15, 10, 14, 9, 13, 32, 28, 
      31, 27, 30, 26, 29, 25, 6, 2, 5, 1, 8, 4, 7, 3 ], 
  [ 19, 23, 20, 24, 17, 21, 18, 22, 15, 11, 16, 12, 13, 9, 14, 10, 27, 31, 
      28, 32, 25, 29, 26, 30, 1, 5, 2, 6, 3, 7, 4, 8 ], 
  [ 19, 23, 20, 24, 17, 21, 18, 22, 15, 11, 16, 12, 13, 9, 14, 10, 27, 31, 
      28, 32, 25, 29, 26, 30, 1, 5, 2, 6, 3, 7, 4, 8 ], 
  [ 24, 20, 23, 19, 22, 18, 21, 17, 12, 16, 11, 15, 10, 14, 9, 13, 32, 28, 
      31, 27, 30, 26, 29, 25, 6, 2, 5, 1, 8, 4, 7, 3 ], 
  [ 18, 22, 17, 21, 20, 24, 19, 23, 14, 10, 13, 9, 16, 12, 15, 11, 26, 30, 
      25, 29, 28, 32, 27, 31, 4, 8, 3, 7, 2, 6, 1, 5 ], 
  [ 21, 17, 22, 18, 23, 19, 24, 20, 9, 13, 10, 14, 11, 15, 12, 16, 29, 25, 
      30, 26, 31, 27, 32, 28, 7, 3, 8, 4, 5, 1, 6, 2 ], 
  [ 26, 30, 25, 29, 28, 32, 27, 31, 4, 8, 3, 7, 2, 6, 1, 5, 17, 21, 18, 22, 
      19, 23, 20, 24, 13, 9, 14, 10, 15, 11, 16, 12 ], 
  [ 29, 25, 30, 26, 31, 27, 32, 28, 7, 3, 8, 4, 5, 1, 6, 2, 22, 18, 21, 17, 
      24, 20, 23, 19, 10, 14, 9, 13, 12, 16, 11, 15 ], 
  [ 27, 31, 28, 32, 25, 29, 26, 30, 1, 5, 2, 6, 3, 7, 4, 8, 20, 24, 19, 23, 
      18, 22, 17, 21, 16, 12, 15, 11, 14, 10, 13, 9 ], 
  [ 32, 28, 31, 27, 30, 26, 29, 25, 6, 2, 5, 1, 8, 4, 7, 3, 23, 19, 24, 20, 
      21, 17, 22, 18, 11, 15, 12, 16, 9, 13, 10, 14 ], 
  [ 32, 28, 31, 27, 30, 26, 29, 25, 6, 2, 5, 1, 8, 4, 7, 3, 23, 19, 24, 20, 
      21, 17, 22, 18, 11, 15, 12, 16, 9, 13, 10, 14 ], 
  [ 27, 31, 28, 32, 25, 29, 26, 30, 1, 5, 2, 6, 3, 7, 4, 8, 20, 24, 19, 23, 
      18, 22, 17, 21, 16, 12, 15, 11, 14, 10, 13, 9 ], 
  [ 29, 25, 30, 26, 31, 27, 32, 28, 7, 3, 8, 4, 5, 1, 6, 2, 22, 18, 21, 17, 
      24, 20, 23, 19, 10, 14, 9, 13, 12, 16, 11, 15 ], 
  [ 26, 30, 25, 29, 28, 32, 27, 31, 4, 8, 3, 7, 2, 6, 1, 5, 17, 21, 18, 22, 
      19, 23, 20, 24, 13, 9, 14, 10, 15, 11, 16, 12 ], 
  [ 16, 12, 15, 11, 14, 10, 13, 9, 24, 20, 23, 19, 22, 18, 21, 17, 7, 3, 8, 
      4, 5, 1, 6, 2, 25, 29, 26, 30, 27, 31, 28, 32 ], 
  [ 11, 15, 12, 16, 9, 13, 10, 14, 19, 23, 20, 24, 17, 21, 18, 22, 4, 8, 3, 
      7, 2, 6, 1, 5, 30, 26, 29, 25, 32, 28, 31, 27 ], 
  [ 13, 9, 14, 10, 15, 11, 16, 12, 21, 17, 22, 18, 23, 19, 24, 20, 6, 2, 5, 
      1, 8, 4, 7, 3, 28, 32, 27, 31, 26, 30, 25, 29 ], 
  [ 10, 14, 9, 13, 12, 16, 11, 15, 18, 22, 17, 21, 20, 24, 19, 23, 1, 5, 2, 
      6, 3, 7, 4, 8, 31, 27, 32, 28, 29, 25, 30, 26 ], 
  [ 10, 14, 9, 13, 12, 16, 11, 15, 18, 22, 17, 21, 20, 24, 19, 23, 1, 5, 2, 
      6, 3, 7, 4, 8, 31, 27, 32, 28, 29, 25, 30, 26 ], 
  [ 13, 9, 14, 10, 15, 11, 16, 12, 21, 17, 22, 18, 23, 19, 24, 20, 6, 2, 5, 
      1, 8, 4, 7, 3, 28, 32, 27, 31, 26, 30, 25, 29 ], 
  [ 11, 15, 12, 16, 9, 13, 10, 14, 19, 23, 20, 24, 17, 21, 18, 22, 4, 8, 3, 
      7, 2, 6, 1, 5, 30, 26, 29, 25, 32, 28, 31, 27 ], 
  [ 16, 12, 15, 11, 14, 10, 13, 9, 24, 20, 23, 19, 22, 18, 21, 17, 7, 3, 8, 
      4, 5, 1, 6, 2, 25, 29, 26, 30, 27, 31, 28, 32 ] ]);
QUANDLES[32].implemented := 9;
QUANDLES[32].rack[9] := rec( size := 32, matrix :=
[ [ 1, 3, 5, 7, 2, 4, 6, 8, 19, 17, 23, 21, 20, 18, 24, 22, 25, 27, 29, 31, 
      26, 28, 30, 32, 16, 14, 12, 10, 15, 13, 11, 9 ], 
  [ 4, 2, 8, 6, 3, 1, 7, 5, 18, 20, 22, 24, 17, 19, 21, 23, 28, 26, 32, 30, 
      27, 25, 31, 29, 13, 15, 9, 11, 14, 16, 10, 12 ], 
  [ 7, 5, 3, 1, 8, 6, 4, 2, 21, 23, 17, 19, 22, 24, 18, 20, 31, 29, 27, 25, 
      32, 30, 28, 26, 10, 12, 14, 16, 9, 11, 13, 15 ], 
  [ 6, 8, 2, 4, 5, 7, 1, 3, 24, 22, 20, 18, 23, 21, 19, 17, 30, 32, 26, 28, 
      29, 31, 25, 27, 11, 9, 15, 13, 12, 10, 16, 14 ], 
  [ 6, 8, 2, 4, 5, 7, 1, 3, 24, 22, 20, 18, 23, 21, 19, 17, 30, 32, 26, 28, 
      29, 31, 25, 27, 11, 9, 15, 13, 12, 10, 16, 14 ], 
  [ 7, 5, 3, 1, 8, 6, 4, 2, 21, 23, 17, 19, 22, 24, 18, 20, 31, 29, 27, 25, 
      32, 30, 28, 26, 10, 12, 14, 16, 9, 11, 13, 15 ], 
  [ 4, 2, 8, 6, 3, 1, 7, 5, 18, 20, 22, 24, 17, 19, 21, 23, 28, 26, 32, 30, 
      27, 25, 31, 29, 13, 15, 9, 11, 14, 16, 10, 12 ], 
  [ 1, 3, 5, 7, 2, 4, 6, 8, 19, 17, 23, 21, 20, 18, 24, 22, 25, 27, 29, 31, 
      26, 28, 30, 32, 16, 14, 12, 10, 15, 13, 11, 9 ], 
  [ 32, 30, 28, 26, 31, 29, 27, 25, 9, 11, 13, 15, 10, 12, 14, 16, 4, 2, 8, 
      6, 3, 1, 7, 5, 18, 20, 22, 24, 17, 19, 21, 23 ], 
  [ 29, 31, 25, 27, 30, 32, 26, 28, 12, 10, 16, 14, 11, 9, 15, 13, 1, 3, 5, 
      7, 2, 4, 6, 8, 19, 17, 23, 21, 20, 18, 24, 22 ], 
  [ 26, 28, 30, 32, 25, 27, 29, 31, 15, 13, 11, 9, 16, 14, 12, 10, 6, 8, 2, 
      4, 5, 7, 1, 3, 24, 22, 20, 18, 23, 21, 19, 17 ], 
  [ 27, 25, 31, 29, 28, 26, 32, 30, 14, 16, 10, 12, 13, 15, 9, 11, 7, 5, 3, 
      1, 8, 6, 4, 2, 21, 23, 17, 19, 22, 24, 18, 20 ], 
  [ 27, 25, 31, 29, 28, 26, 32, 30, 14, 16, 10, 12, 13, 15, 9, 11, 7, 5, 3, 
      1, 8, 6, 4, 2, 21, 23, 17, 19, 22, 24, 18, 20 ], 
  [ 26, 28, 30, 32, 25, 27, 29, 31, 15, 13, 11, 9, 16, 14, 12, 10, 6, 8, 2, 
      4, 5, 7, 1, 3, 24, 22, 20, 18, 23, 21, 19, 17 ], 
  [ 29, 31, 25, 27, 30, 32, 26, 28, 12, 10, 16, 14, 11, 9, 15, 13, 1, 3, 5, 
      7, 2, 4, 6, 8, 19, 17, 23, 21, 20, 18, 24, 22 ], 
  [ 32, 30, 28, 26, 31, 29, 27, 25, 9, 11, 13, 15, 10, 12, 14, 16, 4, 2, 8, 
      6, 3, 1, 7, 5, 18, 20, 22, 24, 17, 19, 21, 23 ], 
  [ 15, 13, 11, 9, 16, 14, 12, 10, 28, 26, 32, 30, 27, 25, 31, 29, 17, 19, 
      21, 23, 18, 20, 22, 24, 1, 3, 5, 7, 2, 4, 6, 8 ], 
  [ 14, 16, 10, 12, 13, 15, 9, 11, 25, 27, 29, 31, 26, 28, 30, 32, 20, 18, 
      24, 22, 19, 17, 23, 21, 4, 2, 8, 6, 3, 1, 7, 5 ], 
  [ 9, 11, 13, 15, 10, 12, 14, 16, 30, 32, 26, 28, 29, 31, 25, 27, 23, 21, 
      19, 17, 24, 22, 20, 18, 7, 5, 3, 1, 8, 6, 4, 2 ], 
  [ 12, 10, 16, 14, 11, 9, 15, 13, 31, 29, 27, 25, 32, 30, 28, 26, 22, 24, 
      18, 20, 21, 23, 17, 19, 6, 8, 2, 4, 5, 7, 1, 3 ], 
  [ 12, 10, 16, 14, 11, 9, 15, 13, 31, 29, 27, 25, 32, 30, 28, 26, 22, 24, 
      18, 20, 21, 23, 17, 19, 6, 8, 2, 4, 5, 7, 1, 3 ], 
  [ 9, 11, 13, 15, 10, 12, 14, 16, 30, 32, 26, 28, 29, 31, 25, 27, 23, 21, 
      19, 17, 24, 22, 20, 18, 7, 5, 3, 1, 8, 6, 4, 2 ], 
  [ 14, 16, 10, 12, 13, 15, 9, 11, 25, 27, 29, 31, 26, 28, 30, 32, 20, 18, 
      24, 22, 19, 17, 23, 21, 4, 2, 8, 6, 3, 1, 7, 5 ], 
  [ 15, 13, 11, 9, 16, 14, 12, 10, 28, 26, 32, 30, 27, 25, 31, 29, 17, 19, 
      21, 23, 18, 20, 22, 24, 1, 3, 5, 7, 2, 4, 6, 8 ], 
  [ 24, 22, 20, 18, 23, 21, 19, 17, 8, 6, 4, 2, 7, 5, 3, 1, 14, 16, 10, 12, 
      13, 15, 9, 11, 25, 27, 29, 31, 26, 28, 30, 32 ], 
  [ 21, 23, 17, 19, 22, 24, 18, 20, 5, 7, 1, 3, 6, 8, 2, 4, 15, 13, 11, 9, 
      16, 14, 12, 10, 28, 26, 32, 30, 27, 25, 31, 29 ], 
  [ 18, 20, 22, 24, 17, 19, 21, 23, 2, 4, 6, 8, 1, 3, 5, 7, 12, 10, 16, 14, 
      11, 9, 15, 13, 31, 29, 27, 25, 32, 30, 28, 26 ], 
  [ 19, 17, 23, 21, 20, 18, 24, 22, 3, 1, 7, 5, 4, 2, 8, 6, 9, 11, 13, 15, 
      10, 12, 14, 16, 30, 32, 26, 28, 29, 31, 25, 27 ], 
  [ 19, 17, 23, 21, 20, 18, 24, 22, 3, 1, 7, 5, 4, 2, 8, 6, 9, 11, 13, 15, 
      10, 12, 14, 16, 30, 32, 26, 28, 29, 31, 25, 27 ], 
  [ 18, 20, 22, 24, 17, 19, 21, 23, 2, 4, 6, 8, 1, 3, 5, 7, 12, 10, 16, 14, 
      11, 9, 15, 13, 31, 29, 27, 25, 32, 30, 28, 26 ], 
  [ 21, 23, 17, 19, 22, 24, 18, 20, 5, 7, 1, 3, 6, 8, 2, 4, 15, 13, 11, 9, 
      16, 14, 12, 10, 28, 26, 32, 30, 27, 25, 31, 29 ], 
  [ 24, 22, 20, 18, 23, 21, 19, 17, 8, 6, 4, 2, 7, 5, 3, 1, 14, 16, 10, 12, 
      13, 15, 9, 11, 25, 27, 29, 31, 26, 28, 30, 32 ] ]);
QUANDLES[32].implemented := 10;
QUANDLES[32].rack[10] := rec( size := 32, matrix :=
[ [ 1, 19, 2, 20, 3, 17, 4, 18, 5, 23, 6, 24, 7, 21, 8, 22, 9, 27, 10, 28, 
      11, 25, 12, 26, 13, 31, 14, 32, 15, 29, 16, 30 ], 
  [ 20, 2, 19, 1, 18, 4, 17, 3, 24, 6, 23, 5, 22, 8, 21, 7, 28, 10, 27, 9, 
      26, 12, 25, 11, 32, 14, 31, 13, 30, 16, 29, 15 ], 
  [ 4, 18, 3, 17, 2, 20, 1, 19, 8, 22, 7, 21, 6, 24, 5, 23, 12, 26, 11, 25, 
      10, 28, 9, 27, 16, 30, 15, 29, 14, 32, 13, 31 ], 
  [ 17, 3, 18, 4, 19, 1, 20, 2, 21, 7, 22, 8, 23, 5, 24, 6, 25, 11, 26, 12, 
      27, 9, 28, 10, 29, 15, 30, 16, 31, 13, 32, 14 ], 
  [ 7, 21, 8, 22, 5, 23, 6, 24, 3, 17, 4, 18, 1, 19, 2, 20, 15, 29, 16, 30, 
      13, 31, 14, 32, 11, 25, 12, 26, 9, 27, 10, 28 ], 
  [ 22, 8, 21, 7, 24, 6, 23, 5, 18, 4, 17, 3, 20, 2, 19, 1, 30, 16, 29, 15, 
      32, 14, 31, 13, 26, 12, 25, 11, 28, 10, 27, 9 ], 
  [ 6, 24, 5, 23, 8, 22, 7, 21, 2, 20, 1, 19, 4, 18, 3, 17, 14, 32, 13, 31, 
      16, 30, 15, 29, 10, 28, 9, 27, 12, 26, 11, 25 ], 
  [ 23, 5, 24, 6, 21, 7, 22, 8, 19, 1, 20, 2, 17, 3, 18, 4, 31, 13, 32, 14, 
      29, 15, 30, 16, 27, 9, 28, 10, 25, 11, 26, 12 ], 
  [ 13, 31, 14, 32, 15, 29, 16, 30, 9, 27, 10, 28, 11, 25, 12, 26, 5, 23, 6, 
      24, 7, 21, 8, 22, 1, 19, 2, 20, 3, 17, 4, 18 ], 
  [ 32, 14, 31, 13, 30, 16, 29, 15, 28, 10, 27, 9, 26, 12, 25, 11, 24, 6, 23, 
      5, 22, 8, 21, 7, 20, 2, 19, 1, 18, 4, 17, 3 ], 
  [ 16, 30, 15, 29, 14, 32, 13, 31, 12, 26, 11, 25, 10, 28, 9, 27, 8, 22, 7, 
      21, 6, 24, 5, 23, 4, 18, 3, 17, 2, 20, 1, 19 ], 
  [ 29, 15, 30, 16, 31, 13, 32, 14, 25, 11, 26, 12, 27, 9, 28, 10, 21, 7, 22, 
      8, 23, 5, 24, 6, 17, 3, 18, 4, 19, 1, 20, 2 ], 
  [ 11, 25, 12, 26, 9, 27, 10, 28, 15, 29, 16, 30, 13, 31, 14, 32, 3, 17, 4, 
      18, 1, 19, 2, 20, 7, 21, 8, 22, 5, 23, 6, 24 ], 
  [ 26, 12, 25, 11, 28, 10, 27, 9, 30, 16, 29, 15, 32, 14, 31, 13, 18, 4, 17, 
      3, 20, 2, 19, 1, 22, 8, 21, 7, 24, 6, 23, 5 ], 
  [ 10, 28, 9, 27, 12, 26, 11, 25, 14, 32, 13, 31, 16, 30, 15, 29, 2, 20, 1, 
      19, 4, 18, 3, 17, 6, 24, 5, 23, 8, 22, 7, 21 ], 
  [ 27, 9, 28, 10, 25, 11, 26, 12, 31, 13, 32, 14, 29, 15, 30, 16, 19, 1, 20, 
      2, 17, 3, 18, 4, 23, 5, 24, 6, 21, 7, 22, 8 ], 
  [ 25, 11, 26, 12, 27, 9, 28, 10, 29, 15, 30, 16, 31, 13, 32, 14, 17, 3, 18, 
      4, 19, 1, 20, 2, 21, 7, 22, 8, 23, 5, 24, 6 ], 
  [ 12, 26, 11, 25, 10, 28, 9, 27, 16, 30, 15, 29, 14, 32, 13, 31, 4, 18, 3, 
      17, 2, 20, 1, 19, 8, 22, 7, 21, 6, 24, 5, 23 ], 
  [ 28, 10, 27, 9, 26, 12, 25, 11, 32, 14, 31, 13, 30, 16, 29, 15, 20, 2, 19, 
      1, 18, 4, 17, 3, 24, 6, 23, 5, 22, 8, 21, 7 ], 
  [ 9, 27, 10, 28, 11, 25, 12, 26, 13, 31, 14, 32, 15, 29, 16, 30, 1, 19, 2, 
      20, 3, 17, 4, 18, 5, 23, 6, 24, 7, 21, 8, 22 ], 
  [ 31, 13, 32, 14, 29, 15, 30, 16, 27, 9, 28, 10, 25, 11, 26, 12, 23, 5, 24, 
      6, 21, 7, 22, 8, 19, 1, 20, 2, 17, 3, 18, 4 ], 
  [ 14, 32, 13, 31, 16, 30, 15, 29, 10, 28, 9, 27, 12, 26, 11, 25, 6, 24, 5, 
      23, 8, 22, 7, 21, 2, 20, 1, 19, 4, 18, 3, 17 ], 
  [ 30, 16, 29, 15, 32, 14, 31, 13, 26, 12, 25, 11, 28, 10, 27, 9, 22, 8, 21, 
      7, 24, 6, 23, 5, 18, 4, 17, 3, 20, 2, 19, 1 ], 
  [ 15, 29, 16, 30, 13, 31, 14, 32, 11, 25, 12, 26, 9, 27, 10, 28, 7, 21, 8, 
      22, 5, 23, 6, 24, 3, 17, 4, 18, 1, 19, 2, 20 ], 
  [ 21, 7, 22, 8, 23, 5, 24, 6, 17, 3, 18, 4, 19, 1, 20, 2, 29, 15, 30, 16, 
      31, 13, 32, 14, 25, 11, 26, 12, 27, 9, 28, 10 ], 
  [ 8, 22, 7, 21, 6, 24, 5, 23, 4, 18, 3, 17, 2, 20, 1, 19, 16, 30, 15, 29, 
      14, 32, 13, 31, 12, 26, 11, 25, 10, 28, 9, 27 ], 
  [ 24, 6, 23, 5, 22, 8, 21, 7, 20, 2, 19, 1, 18, 4, 17, 3, 32, 14, 31, 13, 
      30, 16, 29, 15, 28, 10, 27, 9, 26, 12, 25, 11 ], 
  [ 5, 23, 6, 24, 7, 21, 8, 22, 1, 19, 2, 20, 3, 17, 4, 18, 13, 31, 14, 32, 
      15, 29, 16, 30, 9, 27, 10, 28, 11, 25, 12, 26 ], 
  [ 19, 1, 20, 2, 17, 3, 18, 4, 23, 5, 24, 6, 21, 7, 22, 8, 27, 9, 28, 10, 
      25, 11, 26, 12, 31, 13, 32, 14, 29, 15, 30, 16 ], 
  [ 2, 20, 1, 19, 4, 18, 3, 17, 6, 24, 5, 23, 8, 22, 7, 21, 10, 28, 9, 27, 
      12, 26, 11, 25, 14, 32, 13, 31, 16, 30, 15, 29 ], 
  [ 18, 4, 17, 3, 20, 2, 19, 1, 22, 8, 21, 7, 24, 6, 23, 5, 26, 12, 25, 11, 
      28, 10, 27, 9, 30, 16, 29, 15, 32, 14, 31, 13 ], 
  [ 3, 17, 4, 18, 1, 19, 2, 20, 7, 21, 8, 22, 5, 23, 6, 24, 11, 25, 12, 26, 
      9, 27, 10, 28, 15, 29, 16, 30, 13, 31, 14, 32 ] ]);
QUANDLES[32].implemented := 11;
QUANDLES[32].rack[11] := rec( size := 32, matrix :=
[ [ 1, 23, 10, 32, 19, 5, 28, 14, 2, 24, 9, 31, 20, 6, 27, 13, 3, 21, 12, 30, 
      17, 7, 26, 16, 4, 22, 11, 29, 18, 8, 25, 15 ], 
  [ 24, 2, 31, 9, 6, 20, 13, 27, 23, 1, 32, 10, 5, 19, 14, 28, 22, 4, 29, 11, 
      8, 18, 15, 25, 21, 3, 30, 12, 7, 17, 16, 26 ], 
  [ 12, 30, 3, 21, 26, 16, 17, 7, 11, 29, 4, 22, 25, 15, 18, 8, 10, 32, 1, 
      23, 28, 14, 19, 5, 9, 31, 2, 24, 27, 13, 20, 6 ], 
  [ 29, 11, 22, 4, 15, 25, 8, 18, 30, 12, 21, 3, 16, 26, 7, 17, 31, 9, 24, 2, 
      13, 27, 6, 20, 32, 10, 23, 1, 14, 28, 5, 19 ], 
  [ 23, 1, 32, 10, 5, 19, 14, 28, 24, 2, 31, 9, 6, 20, 13, 27, 21, 3, 30, 12, 
      7, 17, 16, 26, 22, 4, 29, 11, 8, 18, 15, 25 ], 
  [ 2, 24, 9, 31, 20, 6, 27, 13, 1, 23, 10, 32, 19, 5, 28, 14, 4, 22, 11, 29, 
      18, 8, 25, 15, 3, 21, 12, 30, 17, 7, 26, 16 ], 
  [ 30, 12, 21, 3, 16, 26, 7, 17, 29, 11, 22, 4, 15, 25, 8, 18, 32, 10, 23, 
      1, 14, 28, 5, 19, 31, 9, 24, 2, 13, 27, 6, 20 ], 
  [ 11, 29, 4, 22, 25, 15, 18, 8, 12, 30, 3, 21, 26, 16, 17, 7, 9, 31, 2, 24, 
      27, 13, 20, 6, 10, 32, 1, 23, 28, 14, 19, 5 ], 
  [ 10, 32, 1, 23, 28, 14, 19, 5, 9, 31, 2, 24, 27, 13, 20, 6, 12, 30, 3, 21, 
      26, 16, 17, 7, 11, 29, 4, 22, 25, 15, 18, 8 ], 
  [ 31, 9, 24, 2, 13, 27, 6, 20, 32, 10, 23, 1, 14, 28, 5, 19, 29, 11, 22, 4, 
      15, 25, 8, 18, 30, 12, 21, 3, 16, 26, 7, 17 ], 
  [ 3, 21, 12, 30, 17, 7, 26, 16, 4, 22, 11, 29, 18, 8, 25, 15, 1, 23, 10, 
      32, 19, 5, 28, 14, 2, 24, 9, 31, 20, 6, 27, 13 ], 
  [ 22, 4, 29, 11, 8, 18, 15, 25, 21, 3, 30, 12, 7, 17, 16, 26, 24, 2, 31, 9, 
      6, 20, 13, 27, 23, 1, 32, 10, 5, 19, 14, 28 ], 
  [ 32, 10, 23, 1, 14, 28, 5, 19, 31, 9, 24, 2, 13, 27, 6, 20, 30, 12, 21, 3, 
      16, 26, 7, 17, 29, 11, 22, 4, 15, 25, 8, 18 ], 
  [ 9, 31, 2, 24, 27, 13, 20, 6, 10, 32, 1, 23, 28, 14, 19, 5, 11, 29, 4, 22, 
      25, 15, 18, 8, 12, 30, 3, 21, 26, 16, 17, 7 ], 
  [ 21, 3, 30, 12, 7, 17, 16, 26, 22, 4, 29, 11, 8, 18, 15, 25, 23, 1, 32, 
      10, 5, 19, 14, 28, 24, 2, 31, 9, 6, 20, 13, 27 ], 
  [ 4, 22, 11, 29, 18, 8, 25, 15, 3, 21, 12, 30, 17, 7, 26, 16, 2, 24, 9, 31, 
      20, 6, 27, 13, 1, 23, 10, 32, 19, 5, 28, 14 ], 
  [ 19, 5, 28, 14, 1, 23, 10, 32, 20, 6, 27, 13, 2, 24, 9, 31, 17, 7, 26, 16, 
      3, 21, 12, 30, 18, 8, 25, 15, 4, 22, 11, 29 ], 
  [ 6, 20, 13, 27, 24, 2, 31, 9, 5, 19, 14, 28, 23, 1, 32, 10, 8, 18, 15, 25, 
      22, 4, 29, 11, 7, 17, 16, 26, 21, 3, 30, 12 ], 
  [ 26, 16, 17, 7, 12, 30, 3, 21, 25, 15, 18, 8, 11, 29, 4, 22, 28, 14, 19, 
      5, 10, 32, 1, 23, 27, 13, 20, 6, 9, 31, 2, 24 ], 
  [ 15, 25, 8, 18, 29, 11, 22, 4, 16, 26, 7, 17, 30, 12, 21, 3, 13, 27, 6, 
      20, 31, 9, 24, 2, 14, 28, 5, 19, 32, 10, 23, 1 ], 
  [ 5, 19, 14, 28, 23, 1, 32, 10, 6, 20, 13, 27, 24, 2, 31, 9, 7, 17, 16, 26, 
      21, 3, 30, 12, 8, 18, 15, 25, 22, 4, 29, 11 ], 
  [ 20, 6, 27, 13, 2, 24, 9, 31, 19, 5, 28, 14, 1, 23, 10, 32, 18, 8, 25, 15, 
      4, 22, 11, 29, 17, 7, 26, 16, 3, 21, 12, 30 ], 
  [ 16, 26, 7, 17, 30, 12, 21, 3, 15, 25, 8, 18, 29, 11, 22, 4, 14, 28, 5, 
      19, 32, 10, 23, 1, 13, 27, 6, 20, 31, 9, 24, 2 ], 
  [ 25, 15, 18, 8, 11, 29, 4, 22, 26, 16, 17, 7, 12, 30, 3, 21, 27, 13, 20, 
      6, 9, 31, 2, 24, 28, 14, 19, 5, 10, 32, 1, 23 ], 
  [ 28, 14, 19, 5, 10, 32, 1, 23, 27, 13, 20, 6, 9, 31, 2, 24, 26, 16, 17, 7, 
      12, 30, 3, 21, 25, 15, 18, 8, 11, 29, 4, 22 ], 
  [ 13, 27, 6, 20, 31, 9, 24, 2, 14, 28, 5, 19, 32, 10, 23, 1, 15, 25, 8, 18, 
      29, 11, 22, 4, 16, 26, 7, 17, 30, 12, 21, 3 ], 
  [ 17, 7, 26, 16, 3, 21, 12, 30, 18, 8, 25, 15, 4, 22, 11, 29, 19, 5, 28, 
      14, 1, 23, 10, 32, 20, 6, 27, 13, 2, 24, 9, 31 ], 
  [ 8, 18, 15, 25, 22, 4, 29, 11, 7, 17, 16, 26, 21, 3, 30, 12, 6, 20, 13, 
      27, 24, 2, 31, 9, 5, 19, 14, 28, 23, 1, 32, 10 ], 
  [ 14, 28, 5, 19, 32, 10, 23, 1, 13, 27, 6, 20, 31, 9, 24, 2, 16, 26, 7, 17, 
      30, 12, 21, 3, 15, 25, 8, 18, 29, 11, 22, 4 ], 
  [ 27, 13, 20, 6, 9, 31, 2, 24, 28, 14, 19, 5, 10, 32, 1, 23, 25, 15, 18, 8, 
      11, 29, 4, 22, 26, 16, 17, 7, 12, 30, 3, 21 ], 
  [ 7, 17, 16, 26, 21, 3, 30, 12, 8, 18, 15, 25, 22, 4, 29, 11, 5, 19, 14, 
      28, 23, 1, 32, 10, 6, 20, 13, 27, 24, 2, 31, 9 ], 
  [ 18, 8, 25, 15, 4, 22, 11, 29, 17, 7, 26, 16, 3, 21, 12, 30, 20, 6, 27, 
      13, 2, 24, 9, 31, 19, 5, 28, 14, 1, 23, 10, 32 ] ]);
QUANDLES[32].implemented := 12;
QUANDLES[32].rack[12] := rec( size := 32, matrix :=
[ [ 1, 24, 12, 29, 23, 2, 30, 11, 10, 31, 3, 22, 32, 9, 21, 4, 19, 6, 26, 15, 
      5, 20, 16, 25, 28, 13, 17, 8, 14, 27, 7, 18 ], 
  [ 23, 2, 30, 11, 1, 24, 12, 29, 32, 9, 21, 4, 10, 31, 3, 22, 5, 20, 16, 25, 
      19, 6, 26, 15, 14, 27, 7, 18, 28, 13, 17, 8 ], 
  [ 10, 31, 3, 22, 32, 9, 21, 4, 1, 24, 12, 29, 23, 2, 30, 11, 28, 13, 17, 8, 
      14, 27, 7, 18, 19, 6, 26, 15, 5, 20, 16, 25 ], 
  [ 32, 9, 21, 4, 10, 31, 3, 22, 23, 2, 30, 11, 1, 24, 12, 29, 14, 27, 7, 18, 
      28, 13, 17, 8, 5, 20, 16, 25, 19, 6, 26, 15 ], 
  [ 19, 6, 26, 15, 5, 20, 16, 25, 28, 13, 17, 8, 14, 27, 7, 18, 1, 24, 12, 
      29, 23, 2, 30, 11, 10, 31, 3, 22, 32, 9, 21, 4 ], 
  [ 5, 20, 16, 25, 19, 6, 26, 15, 14, 27, 7, 18, 28, 13, 17, 8, 23, 2, 30, 
      11, 1, 24, 12, 29, 32, 9, 21, 4, 10, 31, 3, 22 ], 
  [ 28, 13, 17, 8, 14, 27, 7, 18, 19, 6, 26, 15, 5, 20, 16, 25, 10, 31, 3, 
      22, 32, 9, 21, 4, 1, 24, 12, 29, 23, 2, 30, 11 ], 
  [ 14, 27, 7, 18, 28, 13, 17, 8, 5, 20, 16, 25, 19, 6, 26, 15, 32, 9, 21, 4, 
      10, 31, 3, 22, 23, 2, 30, 11, 1, 24, 12, 29 ], 
  [ 2, 23, 11, 30, 24, 1, 29, 12, 9, 32, 4, 21, 31, 10, 22, 3, 20, 5, 25, 16, 
      6, 19, 15, 26, 27, 14, 18, 7, 13, 28, 8, 17 ], 
  [ 24, 1, 29, 12, 2, 23, 11, 30, 31, 10, 22, 3, 9, 32, 4, 21, 6, 19, 15, 26, 
      20, 5, 25, 16, 13, 28, 8, 17, 27, 14, 18, 7 ], 
  [ 9, 32, 4, 21, 31, 10, 22, 3, 2, 23, 11, 30, 24, 1, 29, 12, 27, 14, 18, 7, 
      13, 28, 8, 17, 20, 5, 25, 16, 6, 19, 15, 26 ], 
  [ 31, 10, 22, 3, 9, 32, 4, 21, 24, 1, 29, 12, 2, 23, 11, 30, 13, 28, 8, 17, 
      27, 14, 18, 7, 6, 19, 15, 26, 20, 5, 25, 16 ], 
  [ 20, 5, 25, 16, 6, 19, 15, 26, 27, 14, 18, 7, 13, 28, 8, 17, 2, 23, 11, 
      30, 24, 1, 29, 12, 9, 32, 4, 21, 31, 10, 22, 3 ], 
  [ 6, 19, 15, 26, 20, 5, 25, 16, 13, 28, 8, 17, 27, 14, 18, 7, 24, 1, 29, 
      12, 2, 23, 11, 30, 31, 10, 22, 3, 9, 32, 4, 21 ], 
  [ 27, 14, 18, 7, 13, 28, 8, 17, 20, 5, 25, 16, 6, 19, 15, 26, 9, 32, 4, 21, 
      31, 10, 22, 3, 2, 23, 11, 30, 24, 1, 29, 12 ], 
  [ 13, 28, 8, 17, 27, 14, 18, 7, 6, 19, 15, 26, 20, 5, 25, 16, 31, 10, 22, 
      3, 9, 32, 4, 21, 24, 1, 29, 12, 2, 23, 11, 30 ], 
  [ 3, 22, 10, 31, 21, 4, 32, 9, 12, 29, 1, 24, 30, 11, 23, 2, 17, 8, 28, 13, 
      7, 18, 14, 27, 26, 15, 19, 6, 16, 25, 5, 20 ], 
  [ 21, 4, 32, 9, 3, 22, 10, 31, 30, 11, 23, 2, 12, 29, 1, 24, 7, 18, 14, 27, 
      17, 8, 28, 13, 16, 25, 5, 20, 26, 15, 19, 6 ], 
  [ 12, 29, 1, 24, 30, 11, 23, 2, 3, 22, 10, 31, 21, 4, 32, 9, 26, 15, 19, 6, 
      16, 25, 5, 20, 17, 8, 28, 13, 7, 18, 14, 27 ], 
  [ 30, 11, 23, 2, 12, 29, 1, 24, 21, 4, 32, 9, 3, 22, 10, 31, 16, 25, 5, 20, 
      26, 15, 19, 6, 7, 18, 14, 27, 17, 8, 28, 13 ], 
  [ 17, 8, 28, 13, 7, 18, 14, 27, 26, 15, 19, 6, 16, 25, 5, 20, 3, 22, 10, 
      31, 21, 4, 32, 9, 12, 29, 1, 24, 30, 11, 23, 2 ], 
  [ 7, 18, 14, 27, 17, 8, 28, 13, 16, 25, 5, 20, 26, 15, 19, 6, 21, 4, 32, 9, 
      3, 22, 10, 31, 30, 11, 23, 2, 12, 29, 1, 24 ], 
  [ 26, 15, 19, 6, 16, 25, 5, 20, 17, 8, 28, 13, 7, 18, 14, 27, 12, 29, 1, 
      24, 30, 11, 23, 2, 3, 22, 10, 31, 21, 4, 32, 9 ], 
  [ 16, 25, 5, 20, 26, 15, 19, 6, 7, 18, 14, 27, 17, 8, 28, 13, 30, 11, 23, 
      2, 12, 29, 1, 24, 21, 4, 32, 9, 3, 22, 10, 31 ], 
  [ 4, 21, 9, 32, 22, 3, 31, 10, 11, 30, 2, 23, 29, 12, 24, 1, 18, 7, 27, 14, 
      8, 17, 13, 28, 25, 16, 20, 5, 15, 26, 6, 19 ], 
  [ 22, 3, 31, 10, 4, 21, 9, 32, 29, 12, 24, 1, 11, 30, 2, 23, 8, 17, 13, 28, 
      18, 7, 27, 14, 15, 26, 6, 19, 25, 16, 20, 5 ], 
  [ 11, 30, 2, 23, 29, 12, 24, 1, 4, 21, 9, 32, 22, 3, 31, 10, 25, 16, 20, 5, 
      15, 26, 6, 19, 18, 7, 27, 14, 8, 17, 13, 28 ], 
  [ 29, 12, 24, 1, 11, 30, 2, 23, 22, 3, 31, 10, 4, 21, 9, 32, 15, 26, 6, 19, 
      25, 16, 20, 5, 8, 17, 13, 28, 18, 7, 27, 14 ], 
  [ 18, 7, 27, 14, 8, 17, 13, 28, 25, 16, 20, 5, 15, 26, 6, 19, 4, 21, 9, 32, 
      22, 3, 31, 10, 11, 30, 2, 23, 29, 12, 24, 1 ], 
  [ 8, 17, 13, 28, 18, 7, 27, 14, 15, 26, 6, 19, 25, 16, 20, 5, 22, 3, 31, 
      10, 4, 21, 9, 32, 29, 12, 24, 1, 11, 30, 2, 23 ], 
  [ 25, 16, 20, 5, 15, 26, 6, 19, 18, 7, 27, 14, 8, 17, 13, 28, 11, 30, 2, 
      23, 29, 12, 24, 1, 4, 21, 9, 32, 22, 3, 31, 10 ], 
  [ 15, 26, 6, 19, 25, 16, 20, 5, 8, 17, 13, 28, 18, 7, 27, 14, 29, 12, 24, 
      1, 11, 30, 2, 23, 22, 3, 31, 10, 4, 21, 9, 32 ] ]);
QUANDLES[32].implemented := 13;
QUANDLES[32].rack[13] := rec( size := 32, matrix :=
[ [ 1, 31, 26, 8, 24, 10, 15, 17, 12, 22, 19, 13, 29, 3, 6, 28, 23, 9, 16, 
      18, 2, 32, 25, 7, 30, 4, 5, 27, 11, 21, 20, 14 ], 
  [ 32, 2, 7, 25, 9, 23, 18, 16, 21, 11, 14, 20, 4, 30, 27, 5, 10, 24, 17, 
      15, 31, 1, 8, 26, 3, 29, 28, 6, 22, 12, 13, 19 ], 
  [ 28, 6, 3, 29, 13, 19, 22, 12, 17, 15, 10, 24, 8, 26, 31, 1, 14, 20, 21, 
      11, 27, 5, 4, 30, 7, 25, 32, 2, 18, 16, 9, 23 ], 
  [ 5, 27, 30, 4, 20, 14, 11, 21, 16, 18, 23, 9, 25, 7, 2, 32, 19, 13, 12, 
      22, 6, 28, 29, 3, 26, 8, 1, 31, 15, 17, 24, 10 ], 
  [ 20, 14, 11, 21, 5, 27, 30, 4, 25, 7, 2, 32, 16, 18, 23, 9, 6, 28, 29, 3, 
      19, 13, 12, 22, 15, 17, 24, 10, 26, 8, 1, 31 ], 
  [ 13, 19, 22, 12, 28, 6, 3, 29, 8, 26, 31, 1, 17, 15, 10, 24, 27, 5, 4, 30, 
      14, 20, 21, 11, 18, 16, 9, 23, 7, 25, 32, 2 ], 
  [ 9, 23, 18, 16, 32, 2, 7, 25, 4, 30, 27, 5, 21, 11, 14, 20, 31, 1, 8, 26, 
      10, 24, 17, 15, 22, 12, 13, 19, 3, 29, 28, 6 ], 
  [ 24, 10, 15, 17, 1, 31, 26, 8, 29, 3, 6, 28, 12, 22, 19, 13, 2, 32, 25, 7, 
      23, 9, 16, 18, 11, 21, 20, 14, 30, 4, 5, 27 ], 
  [ 4, 30, 27, 5, 21, 11, 14, 20, 9, 23, 18, 16, 32, 2, 7, 25, 22, 12, 13, 
      19, 3, 29, 28, 6, 31, 1, 8, 26, 10, 24, 17, 15 ], 
  [ 29, 3, 6, 28, 12, 22, 19, 13, 24, 10, 15, 17, 1, 31, 26, 8, 11, 21, 20, 
      14, 30, 4, 5, 27, 2, 32, 25, 7, 23, 9, 16, 18 ], 
  [ 25, 7, 2, 32, 16, 18, 23, 9, 20, 14, 11, 21, 5, 27, 30, 4, 15, 17, 24, 
      10, 26, 8, 1, 31, 6, 28, 29, 3, 19, 13, 12, 22 ], 
  [ 8, 26, 31, 1, 17, 15, 10, 24, 13, 19, 22, 12, 28, 6, 3, 29, 18, 16, 9, 
      23, 7, 25, 32, 2, 27, 5, 4, 30, 14, 20, 21, 11 ], 
  [ 17, 15, 10, 24, 8, 26, 31, 1, 28, 6, 3, 29, 13, 19, 22, 12, 7, 25, 32, 2, 
      18, 16, 9, 23, 14, 20, 21, 11, 27, 5, 4, 30 ], 
  [ 16, 18, 23, 9, 25, 7, 2, 32, 5, 27, 30, 4, 20, 14, 11, 21, 26, 8, 1, 31, 
      15, 17, 24, 10, 19, 13, 12, 22, 6, 28, 29, 3 ], 
  [ 12, 22, 19, 13, 29, 3, 6, 28, 1, 31, 26, 8, 24, 10, 15, 17, 30, 4, 5, 27, 
      11, 21, 20, 14, 23, 9, 16, 18, 2, 32, 25, 7 ], 
  [ 21, 11, 14, 20, 4, 30, 27, 5, 32, 2, 7, 25, 9, 23, 18, 16, 3, 29, 28, 6, 
      22, 12, 13, 19, 10, 24, 17, 15, 31, 1, 8, 26 ], 
  [ 7, 25, 32, 2, 18, 16, 9, 23, 14, 20, 21, 11, 27, 5, 4, 30, 17, 15, 10, 
      24, 8, 26, 31, 1, 28, 6, 3, 29, 13, 19, 22, 12 ], 
  [ 26, 8, 1, 31, 15, 17, 24, 10, 19, 13, 12, 22, 6, 28, 29, 3, 16, 18, 23, 
      9, 25, 7, 2, 32, 5, 27, 30, 4, 20, 14, 11, 21 ], 
  [ 30, 4, 5, 27, 11, 21, 20, 14, 23, 9, 16, 18, 2, 32, 25, 7, 12, 22, 19, 
      13, 29, 3, 6, 28, 1, 31, 26, 8, 24, 10, 15, 17 ], 
  [ 3, 29, 28, 6, 22, 12, 13, 19, 10, 24, 17, 15, 31, 1, 8, 26, 21, 11, 14, 
      20, 4, 30, 27, 5, 32, 2, 7, 25, 9, 23, 18, 16 ], 
  [ 22, 12, 13, 19, 3, 29, 28, 6, 31, 1, 8, 26, 10, 24, 17, 15, 4, 30, 27, 5, 
      21, 11, 14, 20, 9, 23, 18, 16, 32, 2, 7, 25 ], 
  [ 11, 21, 20, 14, 30, 4, 5, 27, 2, 32, 25, 7, 23, 9, 16, 18, 29, 3, 6, 28, 
      12, 22, 19, 13, 24, 10, 15, 17, 1, 31, 26, 8 ], 
  [ 15, 17, 24, 10, 26, 8, 1, 31, 6, 28, 29, 3, 19, 13, 12, 22, 25, 7, 2, 32, 
      16, 18, 23, 9, 20, 14, 11, 21, 5, 27, 30, 4 ], 
  [ 18, 16, 9, 23, 7, 25, 32, 2, 27, 5, 4, 30, 14, 20, 21, 11, 8, 26, 31, 1, 
      17, 15, 10, 24, 13, 19, 22, 12, 28, 6, 3, 29 ], 
  [ 6, 28, 29, 3, 19, 13, 12, 22, 15, 17, 24, 10, 26, 8, 1, 31, 20, 14, 11, 
      21, 5, 27, 30, 4, 25, 7, 2, 32, 16, 18, 23, 9 ], 
  [ 27, 5, 4, 30, 14, 20, 21, 11, 18, 16, 9, 23, 7, 25, 32, 2, 13, 19, 22, 
      12, 28, 6, 3, 29, 8, 26, 31, 1, 17, 15, 10, 24 ], 
  [ 31, 1, 8, 26, 10, 24, 17, 15, 22, 12, 13, 19, 3, 29, 28, 6, 9, 23, 18, 
      16, 32, 2, 7, 25, 4, 30, 27, 5, 21, 11, 14, 20 ], 
  [ 2, 32, 25, 7, 23, 9, 16, 18, 11, 21, 20, 14, 30, 4, 5, 27, 24, 10, 15, 
      17, 1, 31, 26, 8, 29, 3, 6, 28, 12, 22, 19, 13 ], 
  [ 23, 9, 16, 18, 2, 32, 25, 7, 30, 4, 5, 27, 11, 21, 20, 14, 1, 31, 26, 8, 
      24, 10, 15, 17, 12, 22, 19, 13, 29, 3, 6, 28 ], 
  [ 10, 24, 17, 15, 31, 1, 8, 26, 3, 29, 28, 6, 22, 12, 13, 19, 32, 2, 7, 25, 
      9, 23, 18, 16, 21, 11, 14, 20, 4, 30, 27, 5 ], 
  [ 14, 20, 21, 11, 27, 5, 4, 30, 7, 25, 32, 2, 18, 16, 9, 23, 28, 6, 3, 29, 
      13, 19, 22, 12, 17, 15, 10, 24, 8, 26, 31, 1 ], 
  [ 19, 13, 12, 22, 6, 28, 29, 3, 26, 8, 1, 31, 15, 17, 24, 10, 5, 27, 30, 4, 
      20, 14, 11, 21, 16, 18, 23, 9, 25, 7, 2, 32 ] ]);
QUANDLES[32].implemented := 14;
QUANDLES[32].rack[14] := rec( size := 32, matrix :=
[ [ 1, 13, 25, 21, 22, 26, 14, 2, 16, 4, 24, 28, 27, 23, 3, 15, 31, 19, 7, 
      11, 12, 8, 20, 32, 18, 30, 10, 6, 5, 9, 29, 17 ], 
  [ 14, 2, 22, 26, 25, 21, 1, 13, 3, 15, 27, 23, 24, 28, 16, 4, 20, 32, 12, 
      8, 7, 11, 31, 19, 29, 17, 5, 9, 10, 6, 18, 30 ], 
  [ 27, 23, 3, 15, 16, 4, 24, 28, 22, 26, 14, 2, 1, 13, 25, 21, 5, 9, 29, 17, 
      18, 30, 10, 6, 12, 8, 20, 32, 31, 19, 7, 11 ], 
  [ 24, 28, 16, 4, 3, 15, 27, 23, 25, 21, 1, 13, 14, 2, 22, 26, 10, 6, 18, 
      30, 29, 17, 5, 9, 7, 11, 31, 19, 20, 32, 12, 8 ], 
  [ 18, 30, 10, 6, 5, 9, 29, 17, 31, 19, 7, 11, 12, 8, 20, 32, 16, 4, 24, 28, 
      27, 23, 3, 15, 1, 13, 25, 21, 22, 26, 14, 2 ], 
  [ 29, 17, 5, 9, 10, 6, 18, 30, 20, 32, 12, 8, 7, 11, 31, 19, 3, 15, 27, 23, 
      24, 28, 16, 4, 14, 2, 22, 26, 25, 21, 1, 13 ], 
  [ 12, 8, 20, 32, 31, 19, 7, 11, 5, 9, 29, 17, 18, 30, 10, 6, 22, 26, 14, 2, 
      1, 13, 25, 21, 27, 23, 3, 15, 16, 4, 24, 28 ], 
  [ 7, 11, 31, 19, 20, 32, 12, 8, 10, 6, 18, 30, 29, 17, 5, 9, 25, 21, 1, 13, 
      14, 2, 22, 26, 24, 28, 16, 4, 3, 15, 27, 23 ], 
  [ 8, 12, 32, 20, 19, 31, 11, 7, 9, 5, 17, 29, 30, 18, 6, 10, 26, 22, 2, 14, 
      13, 1, 21, 25, 23, 27, 15, 3, 4, 16, 28, 24 ], 
  [ 11, 7, 19, 31, 32, 20, 8, 12, 6, 10, 30, 18, 17, 29, 9, 5, 21, 25, 13, 1, 
      2, 14, 26, 22, 28, 24, 4, 16, 15, 3, 23, 27 ], 
  [ 30, 18, 6, 10, 9, 5, 17, 29, 19, 31, 11, 7, 8, 12, 32, 20, 4, 16, 28, 24, 
      23, 27, 15, 3, 13, 1, 21, 25, 26, 22, 2, 14 ], 
  [ 17, 29, 9, 5, 6, 10, 30, 18, 32, 20, 8, 12, 11, 7, 19, 31, 15, 3, 23, 27, 
      28, 24, 4, 16, 2, 14, 26, 22, 21, 25, 13, 1 ], 
  [ 23, 27, 15, 3, 4, 16, 28, 24, 26, 22, 2, 14, 13, 1, 21, 25, 9, 5, 17, 29, 
      30, 18, 6, 10, 8, 12, 32, 20, 19, 31, 11, 7 ], 
  [ 28, 24, 4, 16, 15, 3, 23, 27, 21, 25, 13, 1, 2, 14, 26, 22, 6, 10, 30, 
      18, 17, 29, 9, 5, 11, 7, 19, 31, 32, 20, 8, 12 ], 
  [ 13, 1, 21, 25, 26, 22, 2, 14, 4, 16, 28, 24, 23, 27, 15, 3, 19, 31, 11, 
      7, 8, 12, 32, 20, 30, 18, 6, 10, 9, 5, 17, 29 ], 
  [ 2, 14, 26, 22, 21, 25, 13, 1, 15, 3, 23, 27, 28, 24, 4, 16, 32, 20, 8, 
      12, 11, 7, 19, 31, 17, 29, 9, 5, 6, 10, 30, 18 ], 
  [ 15, 3, 23, 27, 28, 24, 4, 16, 2, 14, 26, 22, 21, 25, 13, 1, 17, 29, 9, 5, 
      6, 10, 30, 18, 32, 20, 8, 12, 11, 7, 19, 31 ], 
  [ 4, 16, 28, 24, 23, 27, 15, 3, 13, 1, 21, 25, 26, 22, 2, 14, 30, 18, 6, 
      10, 9, 5, 17, 29, 19, 31, 11, 7, 8, 12, 32, 20 ], 
  [ 21, 25, 13, 1, 2, 14, 26, 22, 28, 24, 4, 16, 15, 3, 23, 27, 11, 7, 19, 
      31, 32, 20, 8, 12, 6, 10, 30, 18, 17, 29, 9, 5 ], 
  [ 26, 22, 2, 14, 13, 1, 21, 25, 23, 27, 15, 3, 4, 16, 28, 24, 8, 12, 32, 
      20, 19, 31, 11, 7, 9, 5, 17, 29, 30, 18, 6, 10 ], 
  [ 32, 20, 8, 12, 11, 7, 19, 31, 17, 29, 9, 5, 6, 10, 30, 18, 2, 14, 26, 22, 
      21, 25, 13, 1, 15, 3, 23, 27, 28, 24, 4, 16 ], 
  [ 19, 31, 11, 7, 8, 12, 32, 20, 30, 18, 6, 10, 9, 5, 17, 29, 13, 1, 21, 25, 
      26, 22, 2, 14, 4, 16, 28, 24, 23, 27, 15, 3 ], 
  [ 6, 10, 30, 18, 17, 29, 9, 5, 11, 7, 19, 31, 32, 20, 8, 12, 28, 24, 4, 16, 
      15, 3, 23, 27, 21, 25, 13, 1, 2, 14, 26, 22 ], 
  [ 9, 5, 17, 29, 30, 18, 6, 10, 8, 12, 32, 20, 19, 31, 11, 7, 23, 27, 15, 3, 
      4, 16, 28, 24, 26, 22, 2, 14, 13, 1, 21, 25 ], 
  [ 10, 6, 18, 30, 29, 17, 5, 9, 7, 11, 31, 19, 20, 32, 12, 8, 24, 28, 16, 4, 
      3, 15, 27, 23, 25, 21, 1, 13, 14, 2, 22, 26 ], 
  [ 5, 9, 29, 17, 18, 30, 10, 6, 12, 8, 20, 32, 31, 19, 7, 11, 27, 23, 3, 15, 
      16, 4, 24, 28, 22, 26, 14, 2, 1, 13, 25, 21 ], 
  [ 20, 32, 12, 8, 7, 11, 31, 19, 29, 17, 5, 9, 10, 6, 18, 30, 14, 2, 22, 26, 
      25, 21, 1, 13, 3, 15, 27, 23, 24, 28, 16, 4 ], 
  [ 31, 19, 7, 11, 12, 8, 20, 32, 18, 30, 10, 6, 5, 9, 29, 17, 1, 13, 25, 21, 
      22, 26, 14, 2, 16, 4, 24, 28, 27, 23, 3, 15 ], 
  [ 25, 21, 1, 13, 14, 2, 22, 26, 24, 28, 16, 4, 3, 15, 27, 23, 7, 11, 31, 
      19, 20, 32, 12, 8, 10, 6, 18, 30, 29, 17, 5, 9 ], 
  [ 22, 26, 14, 2, 1, 13, 25, 21, 27, 23, 3, 15, 16, 4, 24, 28, 12, 8, 20, 
      32, 31, 19, 7, 11, 5, 9, 29, 17, 18, 30, 10, 6 ], 
  [ 3, 15, 27, 23, 24, 28, 16, 4, 14, 2, 22, 26, 25, 21, 1, 13, 29, 17, 5, 9, 
      10, 6, 18, 30, 20, 32, 12, 8, 7, 11, 31, 19 ], 
  [ 16, 4, 24, 28, 27, 23, 3, 15, 1, 13, 25, 21, 22, 26, 14, 2, 18, 30, 10, 
      6, 5, 9, 29, 17, 31, 19, 7, 11, 12, 8, 20, 32 ] ]);
QUANDLES[32].implemented := 15;
QUANDLES[32].rack[15] := rec( size := 32, matrix :=
[ [ 1, 28, 20, 9, 4, 25, 17, 12, 7, 30, 22, 15, 6, 31, 23, 14, 13, 24, 32, 5, 
      16, 21, 29, 8, 11, 18, 26, 3, 10, 19, 27, 2 ], 
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      5, 32, 24, 13, 2, 27, 19, 10, 3, 26, 18, 11 ], 
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      4, 9, 20, 28, 1, 14, 23, 31, 6, 15, 22, 30, 7 ], 
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      4, 25, 17, 12, 7, 30, 22, 15, 6, 31, 23, 14 ], 
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      10, 19, 27, 2, 13, 24, 32, 5, 16, 21, 29, 8 ], 
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      3, 26, 18, 11, 8, 29, 21, 16, 5, 32, 24, 13 ], 
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      25, 4, 12, 17, 30, 7, 15, 22, 31, 6, 14, 23 ], 
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      21, 16, 8, 29, 18, 11, 3, 26, 19, 10, 2, 27 ], 
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      6, 15, 22, 30, 7, 12, 17, 25, 4, 9, 20, 28, 1 ], 
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      15, 6, 31, 23, 14, 1, 28, 20, 9, 4, 25, 17, 12 ], 
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      32, 5, 13, 24, 27, 2, 10, 19, 26, 3, 11, 18 ], 
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      8, 29, 21, 16, 3, 26, 18, 11, 2, 27, 19, 10 ], 
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      13, 24, 32, 5, 10, 19, 27, 2, 11, 18, 26, 3 ], 
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      30, 23, 14, 6, 31, 20, 9, 1, 28, 17, 12, 4, 25 ], 
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      27, 2, 10, 19, 32, 5, 13, 24, 29, 8, 16, 21 ], 
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      18, 11, 3, 26, 21, 16, 8, 29, 24, 13, 5, 32 ] ]);
QUANDLES[32].implemented := 16;
QUANDLES[32].rack[16] := rec( size := 32, matrix :=
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      10, 13, 15, 12, 19, 23, 24, 20, 22, 18, 17, 21 ], 
  [ 5, 2, 4, 7, 8, 3, 1, 6, 25, 32, 28, 29, 31, 26, 30, 27, 16, 11, 9, 14, 
      13, 10, 12, 15, 24, 20, 19, 23, 17, 21, 22, 18 ], 
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      15, 12, 10, 13, 22, 18, 17, 21, 19, 23, 24, 20 ], 
  [ 2, 5, 7, 4, 3, 8, 6, 1, 28, 29, 25, 32, 30, 27, 31, 26, 9, 14, 16, 11, 
      12, 15, 13, 10, 17, 21, 22, 18, 24, 20, 19, 23 ], 
  [ 8, 3, 1, 6, 5, 2, 4, 7, 26, 31, 27, 30, 32, 25, 29, 28, 10, 13, 15, 12, 
      11, 16, 14, 9, 18, 22, 21, 17, 23, 19, 20, 24 ], 
  [ 4, 7, 5, 2, 1, 6, 8, 3, 31, 26, 30, 27, 25, 32, 28, 29, 13, 10, 12, 15, 
      16, 11, 9, 14, 21, 17, 18, 22, 20, 24, 23, 19 ], 
  [ 3, 8, 6, 1, 2, 5, 7, 4, 27, 30, 26, 31, 29, 28, 32, 25, 15, 12, 10, 13, 
      14, 9, 11, 16, 23, 19, 20, 24, 18, 22, 21, 17 ], 
  [ 7, 4, 2, 5, 6, 1, 3, 8, 30, 27, 31, 26, 28, 29, 25, 32, 12, 15, 13, 10, 
      9, 14, 16, 11, 20, 24, 23, 19, 21, 17, 18, 22 ], 
  [ 24, 17, 21, 20, 18, 23, 19, 22, 9, 14, 16, 11, 12, 15, 13, 10, 28, 29, 
      25, 32, 30, 27, 31, 26, 5, 7, 1, 3, 2, 4, 6, 8 ], 
  [ 20, 21, 17, 24, 22, 19, 23, 18, 13, 10, 12, 15, 16, 11, 9, 14, 31, 26, 
      30, 27, 25, 32, 28, 29, 7, 5, 3, 1, 4, 2, 8, 6 ], 
  [ 19, 22, 18, 23, 21, 20, 24, 17, 14, 9, 11, 16, 15, 12, 10, 13, 29, 28, 
      32, 25, 27, 30, 26, 31, 1, 3, 5, 7, 6, 8, 2, 4 ], 
  [ 23, 18, 22, 19, 17, 24, 20, 21, 10, 13, 15, 12, 11, 16, 14, 9, 26, 31, 
      27, 30, 32, 25, 29, 28, 3, 1, 7, 5, 8, 6, 4, 2 ], 
  [ 17, 24, 20, 21, 23, 18, 22, 19, 16, 11, 9, 14, 13, 10, 12, 15, 25, 32, 
      28, 29, 31, 26, 30, 27, 2, 4, 6, 8, 5, 7, 1, 3 ], 
  [ 21, 20, 24, 17, 19, 22, 18, 23, 12, 15, 13, 10, 9, 14, 16, 11, 30, 27, 
      31, 26, 28, 29, 25, 32, 4, 2, 8, 6, 7, 5, 3, 1 ], 
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      29, 28, 26, 31, 27, 30, 6, 8, 2, 4, 1, 3, 5, 7 ], 
  [ 18, 23, 19, 22, 24, 17, 21, 20, 15, 12, 10, 13, 14, 9, 11, 16, 27, 30, 
      26, 31, 29, 28, 32, 25, 8, 6, 4, 2, 3, 1, 7, 5 ], 
  [ 25, 28, 31, 30, 26, 27, 32, 29, 5, 1, 2, 6, 4, 8, 7, 3, 17, 22, 24, 19, 
      20, 23, 21, 18, 9, 13, 14, 10, 16, 12, 11, 15 ], 
  [ 30, 31, 28, 25, 29, 32, 27, 26, 7, 3, 4, 8, 2, 6, 5, 1, 21, 18, 20, 23, 
      24, 19, 17, 22, 13, 9, 10, 14, 12, 16, 15, 11 ], 
  [ 32, 29, 26, 27, 31, 30, 25, 28, 1, 5, 6, 2, 8, 4, 3, 7, 22, 17, 19, 24, 
      23, 20, 18, 21, 14, 10, 9, 13, 11, 15, 16, 12 ], 
  [ 27, 26, 29, 32, 28, 25, 30, 31, 3, 7, 8, 4, 6, 2, 1, 5, 18, 21, 23, 20, 
      19, 24, 22, 17, 10, 14, 13, 9, 15, 11, 12, 16 ], 
  [ 28, 25, 30, 31, 27, 26, 29, 32, 2, 6, 5, 1, 7, 3, 4, 8, 24, 19, 17, 22, 
      21, 18, 20, 23, 16, 12, 11, 15, 9, 13, 14, 10 ], 
  [ 31, 30, 25, 28, 32, 29, 26, 27, 4, 8, 7, 3, 5, 1, 2, 6, 20, 23, 21, 18, 
      17, 22, 24, 19, 12, 16, 15, 11, 13, 9, 10, 14 ], 
  [ 29, 32, 27, 26, 30, 31, 28, 25, 6, 2, 1, 5, 3, 7, 8, 4, 19, 24, 22, 17, 
      18, 21, 23, 20, 11, 15, 16, 12, 14, 10, 9, 13 ], 
  [ 26, 27, 32, 29, 25, 28, 31, 30, 8, 4, 3, 7, 1, 5, 6, 2, 23, 20, 18, 21, 
      22, 17, 19, 24, 15, 11, 12, 16, 10, 14, 13, 9 ], 
  [ 9, 16, 12, 13, 15, 10, 14, 11, 24, 19, 17, 22, 21, 18, 20, 23, 2, 6, 5, 
      1, 7, 3, 4, 8, 25, 30, 32, 27, 28, 31, 29, 26 ], 
  [ 11, 14, 10, 15, 13, 12, 16, 9, 22, 17, 19, 24, 23, 20, 18, 21, 1, 5, 6, 
      2, 8, 4, 3, 7, 29, 26, 28, 31, 32, 27, 25, 30 ], 
  [ 13, 12, 16, 9, 11, 14, 10, 15, 20, 23, 21, 18, 17, 22, 24, 19, 4, 8, 7, 
      3, 5, 1, 2, 6, 30, 25, 27, 32, 31, 28, 26, 29 ], 
  [ 15, 10, 14, 11, 9, 16, 12, 13, 18, 21, 23, 20, 19, 24, 22, 17, 3, 7, 8, 
      4, 6, 2, 1, 5, 26, 29, 31, 28, 27, 32, 30, 25 ], 
  [ 14, 11, 15, 10, 12, 13, 9, 16, 19, 24, 22, 17, 18, 21, 23, 20, 6, 2, 1, 
      5, 3, 7, 8, 4, 32, 27, 25, 30, 29, 26, 28, 31 ], 
  [ 16, 9, 13, 12, 10, 15, 11, 14, 17, 22, 24, 19, 20, 23, 21, 18, 5, 1, 2, 
      6, 4, 8, 7, 3, 28, 31, 29, 26, 25, 30, 32, 27 ], 
  [ 10, 15, 11, 14, 16, 9, 13, 12, 23, 20, 18, 21, 22, 17, 19, 24, 8, 4, 3, 
      7, 1, 5, 6, 2, 27, 32, 30, 25, 26, 29, 31, 28 ], 
  [ 12, 13, 9, 16, 14, 11, 15, 10, 21, 18, 20, 23, 24, 19, 17, 22, 7, 3, 4, 
      8, 2, 6, 5, 1, 31, 28, 26, 29, 30, 25, 27, 32 ] ]);
QUANDLES[32].implemented := 17;
QUANDLES[32].rack[17] := rec( size := 32, matrix :=
[ [ 1, 5, 6, 2, 8, 4, 3, 7, 29, 26, 28, 31, 32, 27, 25, 30, 12, 16, 15, 11, 
      13, 9, 10, 14, 23, 21, 19, 17, 20, 18, 24, 22 ], 
  [ 6, 2, 1, 5, 3, 7, 8, 4, 32, 27, 25, 30, 29, 26, 28, 31, 13, 9, 10, 14, 
      12, 16, 15, 11, 18, 20, 22, 24, 21, 23, 17, 19 ], 
  [ 8, 4, 3, 7, 1, 5, 6, 2, 27, 32, 30, 25, 26, 29, 31, 28, 9, 13, 14, 10, 
      16, 12, 11, 15, 22, 24, 18, 20, 17, 19, 21, 23 ], 
  [ 3, 7, 8, 4, 6, 2, 1, 5, 26, 29, 31, 28, 27, 32, 30, 25, 16, 12, 11, 15, 
      9, 13, 14, 10, 19, 17, 23, 21, 24, 22, 20, 18 ], 
  [ 4, 8, 7, 3, 5, 1, 2, 6, 30, 25, 27, 32, 31, 28, 26, 29, 14, 10, 9, 13, 
      11, 15, 16, 12, 17, 19, 21, 23, 22, 24, 18, 20 ], 
  [ 7, 3, 4, 8, 2, 6, 5, 1, 31, 28, 26, 29, 30, 25, 27, 32, 11, 15, 16, 12, 
      14, 10, 9, 13, 24, 22, 20, 18, 19, 17, 23, 21 ], 
  [ 5, 1, 2, 6, 4, 8, 7, 3, 28, 31, 29, 26, 25, 30, 32, 27, 15, 11, 12, 16, 
      10, 14, 13, 9, 20, 18, 24, 22, 23, 21, 19, 17 ], 
  [ 2, 6, 5, 1, 7, 3, 4, 8, 25, 30, 32, 27, 28, 31, 29, 26, 10, 14, 13, 9, 
      15, 11, 12, 16, 21, 23, 17, 19, 18, 20, 22, 24 ], 
  [ 17, 22, 24, 19, 20, 23, 21, 18, 9, 13, 14, 10, 16, 12, 11, 15, 27, 32, 
      30, 25, 26, 29, 31, 28, 4, 3, 2, 1, 8, 7, 6, 5 ], 
  [ 22, 17, 19, 24, 23, 20, 18, 21, 14, 10, 9, 13, 11, 15, 16, 12, 30, 25, 
      27, 32, 31, 28, 26, 29, 8, 7, 6, 5, 4, 3, 2, 1 ], 
  [ 24, 19, 17, 22, 21, 18, 20, 23, 16, 12, 11, 15, 9, 13, 14, 10, 26, 29, 
      31, 28, 27, 32, 30, 25, 7, 8, 5, 6, 3, 4, 1, 2 ], 
  [ 19, 24, 22, 17, 18, 21, 23, 20, 11, 15, 16, 12, 14, 10, 9, 13, 31, 28, 
      26, 29, 30, 25, 27, 32, 3, 4, 1, 2, 7, 8, 5, 6 ], 
  [ 20, 23, 21, 18, 17, 22, 24, 19, 12, 16, 15, 11, 13, 9, 10, 14, 29, 26, 
      28, 31, 32, 27, 25, 30, 5, 6, 7, 8, 1, 2, 3, 4 ], 
  [ 23, 20, 18, 21, 22, 17, 19, 24, 15, 11, 12, 16, 10, 14, 13, 9, 28, 31, 
      29, 26, 25, 30, 32, 27, 1, 2, 3, 4, 5, 6, 7, 8 ], 
  [ 21, 18, 20, 23, 24, 19, 17, 22, 13, 9, 10, 14, 12, 16, 15, 11, 32, 27, 
      25, 30, 29, 26, 28, 31, 2, 1, 4, 3, 6, 5, 8, 7 ], 
  [ 18, 21, 23, 20, 19, 24, 22, 17, 10, 14, 13, 9, 15, 11, 12, 16, 25, 30, 
      32, 27, 28, 31, 29, 26, 6, 5, 8, 7, 2, 1, 4, 3 ], 
  [ 27, 30, 26, 31, 29, 28, 32, 25, 8, 6, 4, 2, 3, 1, 7, 5, 17, 21, 22, 18, 
      24, 20, 19, 23, 14, 16, 10, 12, 9, 11, 13, 15 ], 
  [ 30, 27, 31, 26, 28, 29, 25, 32, 4, 2, 8, 6, 7, 5, 3, 1, 22, 18, 17, 21, 
      19, 23, 24, 20, 9, 11, 13, 15, 14, 16, 10, 12 ], 
  [ 26, 31, 27, 30, 32, 25, 29, 28, 3, 1, 7, 5, 8, 6, 4, 2, 24, 20, 19, 23, 
      17, 21, 22, 18, 11, 9, 15, 13, 16, 14, 12, 10 ], 
  [ 31, 26, 30, 27, 25, 32, 28, 29, 7, 5, 3, 1, 4, 2, 8, 6, 19, 23, 24, 20, 
      22, 18, 17, 21, 16, 14, 12, 10, 11, 9, 15, 13 ], 
  [ 29, 28, 32, 25, 27, 30, 26, 31, 1, 3, 5, 7, 6, 8, 2, 4, 20, 24, 23, 19, 
      21, 17, 18, 22, 15, 13, 11, 9, 12, 10, 16, 14 ], 
  [ 28, 29, 25, 32, 30, 27, 31, 26, 5, 7, 1, 3, 2, 4, 6, 8, 23, 19, 20, 24, 
      18, 22, 21, 17, 12, 10, 16, 14, 15, 13, 11, 9 ], 
  [ 32, 25, 29, 28, 26, 31, 27, 30, 6, 8, 2, 4, 1, 3, 5, 7, 21, 17, 18, 22, 
      20, 24, 23, 19, 10, 12, 14, 16, 13, 15, 9, 11 ], 
  [ 25, 32, 28, 29, 31, 26, 30, 27, 2, 4, 6, 8, 5, 7, 1, 3, 18, 22, 21, 17, 
      23, 19, 20, 24, 13, 15, 9, 11, 10, 12, 14, 16 ], 
  [ 13, 10, 12, 15, 16, 11, 9, 14, 21, 17, 18, 22, 20, 24, 23, 19, 6, 8, 2, 
      4, 1, 3, 5, 7, 25, 29, 30, 26, 32, 28, 27, 31 ], 
  [ 9, 14, 16, 11, 12, 15, 13, 10, 17, 21, 22, 18, 24, 20, 19, 23, 8, 6, 4, 
      2, 3, 1, 7, 5, 30, 26, 25, 29, 27, 31, 32, 28 ], 
  [ 10, 13, 15, 12, 11, 16, 14, 9, 18, 22, 21, 17, 23, 19, 20, 24, 2, 4, 6, 
      8, 5, 7, 1, 3, 32, 28, 27, 31, 25, 29, 30, 26 ], 
  [ 14, 9, 11, 16, 15, 12, 10, 13, 22, 18, 17, 21, 19, 23, 24, 20, 4, 2, 8, 
      6, 7, 5, 3, 1, 27, 31, 32, 28, 30, 26, 25, 29 ], 
  [ 12, 15, 13, 10, 9, 14, 16, 11, 20, 24, 23, 19, 21, 17, 18, 22, 1, 3, 5, 
      7, 6, 8, 2, 4, 28, 32, 31, 27, 29, 25, 26, 30 ], 
  [ 16, 11, 9, 14, 13, 10, 12, 15, 24, 20, 19, 23, 17, 21, 22, 18, 3, 1, 7, 
      5, 8, 6, 4, 2, 31, 27, 28, 32, 26, 30, 29, 25 ], 
  [ 15, 12, 10, 13, 14, 9, 11, 16, 23, 19, 20, 24, 18, 22, 21, 17, 5, 7, 1, 
      3, 2, 4, 6, 8, 29, 25, 26, 30, 28, 32, 31, 27 ], 
  [ 11, 16, 14, 9, 10, 13, 15, 12, 19, 23, 24, 20, 22, 18, 17, 21, 7, 5, 3, 
      1, 4, 2, 8, 6, 26, 30, 29, 25, 31, 27, 28, 32 ] ]);

